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3729898368 = 2735737463
BaseRepresentation
bin1101111001010001…
…1011101110000000
3100121221110110200000
43132110123232000
530114323221433
61414040400000
7161300420160
oct33624335600
910557413600
103729898368
111644480939
12881176000
13475991571
142755245a0
1516c6c0113
hexde51bb80

3729898368 has 384 divisors, whose sum is σ = 13092817920. Its totient is φ = 1034643456.

The previous prime is 3729898363. The next prime is 3729898409. The reversal of 3729898368 is 8638989273.

3729898368 is digitally balanced in base 2 and base 4, because in such bases 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 (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (31352832) is a multiple of the sum of its prime divisors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3729898363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8055705 + ... + 8056167.

It is an arithmetic number, because the mean of its divisors is an integer number (34095880).

Almost surely, 23729898368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3729898368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6546408960).

3729898368 is an abundant number, since it is smaller than the sum of its proper divisors (9362919552).

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

3729898368 is an equidigital number, since it uses as much as digits as its factorization.

3729898368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 512 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 3729898368 is about 61072.8938891879. The cubic root of 3729898368 is about 1550.8352581777.

The spelling of 3729898368 in words is "three billion, seven hundred twenty-nine million, eight hundred ninety-eight thousand, three hundred sixty-eight".