3729139907328 has 360 divisors, whose sum is σ = 12157039082496. Its totient is φ = 1127569766400.

The previous prime is 3729139907321. The next prime is 3729139907347. The reversal of 3729139907328 is 8237099319273.

3729139907328 is a `hidden beast` number, since 3 + 72 + 91 + 399 + 0 + 73 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (3729139907321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105590793 + ... + 105626103.

Almost surely, 2^{3729139907328} 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 3729139907328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078519541248).

3729139907328 is an abundant number, since it is smaller than the sum of its proper divisors (8427899175168).

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

3729139907328 is a wasteful number, since it uses less digits than its factorization.

3729139907328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35813 (or 35790 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 3729139907328 in words is "three trillion, seven hundred twenty-nine billion, one hundred thirty-nine million, nine hundred seven thousand, three hundred twenty-eight".