34656960 has 112 divisors (see below), whose sum is σ = 118542816. Its totient is φ = 8527872.

The previous prime is 34656959. The next prime is 34656971. The reversal of 34656960 is 6965643.

It is a happy number.

It is a super-2 number, since 2×34656960² = 2402209752883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11092 + ... + 13868.

It is an arithmetic number, because the mean of its divisors is an integer number (1058418).

Almost surely, 2^34656960 is an apocalyptic number.

34656960 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 34656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59271408).

34656960 is an abundant number, since it is smaller than the sum of its proper divisors (83885856).

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

34656960 is a wasteful number, since it uses less digits than its factorization.

34656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 34656960 is about 5887.0162221621. The cubic root of 34656960 is about 326.0344475373.

The spelling of 34656960 in words is "thirty-four million, six hundred fifty-six thousand, nine hundred sixty".