34865637408 has 240 divisors, whose sum is σ = 117916223040. Its totient is φ = 9899656704.

The previous prime is 34865637377. The next prime is 34865637421. The reversal of 34865637408 is 80473656843.

34865637408 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 563 + 74 + 0 + 8 = 666.

It is a super-2 number, since 2×34865637408² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2951578 + ... + 2963366.

It is an arithmetic number, because the mean of its divisors is an integer number (491317596).

Almost surely, 2^34865637408 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 34865637408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58958111520).

34865637408 is an abundant number, since it is smaller than the sum of its proper divisors (83050585632).

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

34865637408 is a wasteful number, since it uses less digits than its factorization.

34865637408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11981 (or 11964 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 34865637408 in words is "thirty-four billion, eight hundred sixty-five million, six hundred thirty-seven thousand, four hundred eight".