34645704264 has 160 divisors (see below), whose sum is σ = 102400848000. Its totient is φ = 10921920768.

The previous prime is 34645704239. The next prime is 34645704277. The reversal of 34645704264 is 46240754643.

34645704264 is a `hidden beast` number, since 34 + 6 + 4 + 570 + 42 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1313397 + ... + 1339515.

It is an arithmetic number, because the mean of its divisors is an integer number (640005300).

Almost surely, 2^34645704264 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 34645704264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51200424000).

34645704264 is an abundant number, since it is smaller than the sum of its proper divisors (67755143736).

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

34645704264 is a wasteful number, since it uses less digits than its factorization.

34645704264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26249 (or 26236 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 34645704264 in words is "thirty-four billion, six hundred forty-five million, seven hundred four thousand, two hundred sixty-four".