3831904537344 has 1440 divisors, whose sum is σ = 13455691898880. Its totient is φ = 1074524258304.

The previous prime is 3831904537313. The next prime is 3831904537379. The reversal of 3831904537344 is 4437354091383.

3831904537344 is a `hidden beast` number, since 3 + 8 + 3 + 190 + 45 + 373 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27970106044 + ... + 27970106180.

Almost surely, 2^{3831904537344} 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 3831904537344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6727845949440).

3831904537344 is an abundant number, since it is smaller than the sum of its proper divisors (9623787361536).

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

3831904537344 is a wasteful number, since it uses less digits than its factorization.

3831904537344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 3831904537344 in words is "three trillion, eight hundred thirty-one billion, nine hundred four million, five hundred thirty-seven thousand, three hundred forty-four".