3465626040864 has 288 divisors, whose sum is σ = 11187827360640. Its totient is φ = 1037521695744.

The previous prime is 3465626040859. The next prime is 3465626040889. The reversal of 3465626040864 is 4680406265643.

3465626040864 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 626 + 0 + 4 + 0 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3465626040864² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3465626040864.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15263917 + ... + 15489299.

It is an arithmetic number, because the mean of its divisors is an integer number (38846622780).

Almost surely, 2^{3465626040864} 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 3465626040864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593913680320).

3465626040864 is an abundant number, since it is smaller than the sum of its proper divisors (7722201319776).

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

3465626040864 is a wasteful number, since it uses less digits than its factorization.

3465626040864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225489 (or 225438 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 3465626040864 in words is "three trillion, four hundred sixty-five billion, six hundred twenty-six million, forty thousand, eight hundred sixty-four".