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3725434944 = 26367111761
BaseRepresentation
bin1101111000001101…
…1010000001000000
3100121122001201000000
43132003122001000
530112202404234
61413401000000
7161214450240
oct33603320100
910548051000
103725434944
111641a02460
1287b783000
13474a8aa9a
14274ac1b20
1516c0dc899
hexde0da040

3725434944 has 784 divisors, whose sum is σ = 14871655296. Its totient is φ = 895795200.

The previous prime is 3725434939. The next prime is 3725434957. The reversal of 3725434944 is 4494345273.

Its product of digits (1451520) is a multiple of the sum of its prime factors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 3725434944.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 61072674 + ... + 61072734.

Almost surely, 23725434944 is an apocalyptic number.

3725434944 is a gapful number since it is divisible by the number (34) 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 3725434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7435827648).

3725434944 is an abundant number, since it is smaller than the sum of its proper divisors (11146220352).

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

3725434944 is a wasteful number, since it uses less digits than its factorization.

3725434944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 3725434944 is about 61036.3411747460. The cubic root of 3725434944 is about 1550.2164032229.

The spelling of 3725434944 in words is "three billion, seven hundred twenty-five million, four hundred thirty-four thousand, nine hundred forty-four".