3400791243264 has 640 divisors, whose sum is σ = 10485232116480. Its totient is φ = 1087616581632.

The previous prime is 3400791243247. The next prime is 3400791243271. The reversal of 3400791243264 is 4623421970043.

3400791243264 is a `hidden beast` number, since 340 + 0 + 7 + 9 + 1 + 2 + 43 + 264 = 666.

It is a super-2 number, since 2×3400791243264² (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 63 ways as a sum of consecutive naturals, for example, 13232650624 + ... + 13232650880.

It is an arithmetic number, because the mean of its divisors is an integer number (16383175182).

Almost surely, 2^{3400791243264} 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 3400791243264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242616058240).

3400791243264 is an abundant number, since it is smaller than the sum of its proper divisors (7084440873216).

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

3400791243264 is a wasteful number, since it uses less digits than its factorization.

3400791243264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3400791243264 in words is "three trillion, four hundred billion, seven hundred ninety-one million, two hundred forty-three thousand, two hundred sixty-four".