34090675869600 has 1728 divisors, whose sum is σ = 154813851279360. Its totient is φ = 7143742771200.

The previous prime is 34090675869599. The next prime is 34090675869623. The reversal of 34090675869600 is 696857609043.

34090675869600 is a `hidden beast` number, since 3 + 40 + 9 + 0 + 6 + 7 + 586 + 9 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×34090675869600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 801489934 + ... + 801532466.

It is an arithmetic number, because the mean of its divisors is an integer number (89591349120).

Almost surely, 2^{34090675869600} is an apocalyptic number.

34090675869600 is a gapful number since it is divisible by the number (30) 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 34090675869600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77406925639680).

34090675869600 is an abundant number, since it is smaller than the sum of its proper divisors (120723175409760).

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

34090675869600 is a wasteful number, since it uses less digits than its factorization.

34090675869600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42625 (or 42600 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 34090675869600 in words is "thirty-four trillion, ninety billion, six hundred seventy-five million, eight hundred sixty-nine thousand, six hundred".