3387930431392 has 384 divisors, whose sum is σ = 8623700951040. Its totient is φ = 1290548920320.

The previous prime is 3387930431387. The next prime is 3387930431401. The reversal of 3387930431392 is 2931340397833.

It is a super-2 number, since 2×3387930431392² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95786703 + ... + 95822065.

It is an arithmetic number, because the mean of its divisors is an integer number (22457554560).

Almost surely, 2^{3387930431392} is an apocalyptic number.

3387930431392 is a gapful number since it is divisible by the number (32) 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 3387930431392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311850475520).

3387930431392 is an abundant number, since it is smaller than the sum of its proper divisors (5235770519648).

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

3387930431392 is a wasteful number, since it uses less digits than its factorization.

3387930431392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35476 (or 35468 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 55.

The spelling of 3387930431392 in words is "three trillion, three hundred eighty-seven billion, nine hundred thirty million, four hundred thirty-one thousand, three hundred ninety-two".