34040362464 has 144 divisors (see below), whose sum is σ = 99102407040. Its totient is φ = 11079763200.

The previous prime is 34040362453. The next prime is 34040362483. The reversal of 34040362464 is 46426304043.

34040362464 is a `hidden beast` number, since 3 + 4 + 0 + 403 + 6 + 246 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2559159 + ... + 2572425.

It is an arithmetic number, because the mean of its divisors is an integer number (688211160).

Almost surely, 2^34040362464 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 34040362464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49551203520).

34040362464 is an abundant number, since it is smaller than the sum of its proper divisors (65062044576).

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

34040362464 is a wasteful number, since it uses less digits than its factorization.

34040362464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13493 (or 13482 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 34040362464 in words is "thirty-four billion, forty million, three hundred sixty-two thousand, four hundred sixty-four".