34856976 has 80 divisors (see below), whose sum is σ = 112278528. Its totient is φ = 9052800.

The previous prime is 34856971. The next prime is 34856981. The reversal of 34856976 is 67965843.

It is an interprime number because it is at equal distance from previous prime (34856971) and next prime (34856981).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (34856971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1020 + ... + 8411.

Almost surely, 2^34856976 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 34856976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56139264).

34856976 is an abundant number, since it is smaller than the sum of its proper divisors (77421552).

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

34856976 is a wasteful number, since it uses less digits than its factorization.

34856976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9460 (or 9454 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 34856976 is about 5903.9796747618. The cubic root of 34856976 is about 326.6604598756.

The spelling of 34856976 in words is "thirty-four million, eight hundred fifty-six thousand, nine hundred seventy-six".