34934976 has 140 divisors (see below), whose sum is σ = 108429552. Its totient is φ = 11100672.

The previous prime is 34934971. The next prime is 34934981. The reversal of 34934976 is 67943943.

It is an interprime number because it is at equal distance from previous prime (34934971) and next prime (34934981).

It is not an unprimeable number, because it can be changed into a prime (34934971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119086 + ... + 119378.

Almost surely, 2^34934976 is an apocalyptic number.

34934976 is a gapful number since it is divisible by the number (36) 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 34934976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54214776).

34934976 is an abundant number, since it is smaller than the sum of its proper divisors (73494576).

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

34934976 is a wasteful number, since it uses less digits than its factorization.

34934976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 321 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 34934976 is about 5910.5816972613. The cubic root of 34934976 is about 326.9039360945.

The spelling of 34934976 in words is "thirty-four million, nine hundred thirty-four thousand, nine hundred seventy-six".