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3725012928 = 263731319229
BaseRepresentation
bin1101111000000111…
…0010111111000000
3100121121021021002210
43132001302333000
530112100403203
61413343542120
7161211042000
oct33601627700
910547237083
103725012928
11164174438a
1287b5ba940
13474970980
14274a12000
1516c057803
hexde072fc0

3725012928 has 448 divisors, whose sum is σ = 13086080000. Its totient is φ = 926650368.

The previous prime is 3725012927. The next prime is 3725012957. The reversal of 3725012928 is 8292105273.

3725012928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3725012923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16266318 + ... + 16266546.

It is an arithmetic number, because the mean of its divisors is an integer number (29210000).

Almost surely, 23725012928 is an apocalyptic number.

3725012928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3725012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543040000).

3725012928 is an abundant number, since it is smaller than the sum of its proper divisors (9361067072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3725012928 is a wasteful number, since it uses less digits than its factorization.

3725012928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 3725012928 is about 61032.8839888793. The cubic root of 3725012928 is about 1550.1578650172.

The spelling of 3725012928 in words is "three billion, seven hundred twenty-five million, twelve thousand, nine hundred twenty-eight".