3387407564832 has 192 divisors, whose sum is σ = 9272600064000. Its totient is φ = 1081455592448.

The previous prime is 3387407564791. The next prime is 3387407565013. The reversal of 3387407564832 is 2384657047833.

It is a super-2 number, since 2×3387407564832² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208794673 + ... + 208810895.

It is an arithmetic number, because the mean of its divisors is an integer number (48294792000).

Almost surely, 2^{3387407564832} is an apocalyptic number.

3387407564832 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 3387407564832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636300032000).

3387407564832 is an abundant number, since it is smaller than the sum of its proper divisors (5885192499168).

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

3387407564832 is a wasteful number, since it uses less digits than its factorization.

3387407564832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16863 (or 16855 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 60.

The spelling of 3387407564832 in words is "three trillion, three hundred eighty-seven billion, four hundred seven million, five hundred sixty-four thousand, eight hundred thirty-two".