34801976 has 32 divisors (see below), whose sum is σ = 72403200. Its totient is φ = 15548640.

The previous prime is 34801961. The next prime is 34801979. The reversal of 34801976 is 67910843.

It is a super-2 number, since 2×34801976² = 2422355067009152, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34801979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1841 + ... + 8543.

It is an arithmetic number, because the mean of its divisors is an integer number (2262600).

Almost surely, 2^34801976 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 34801976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36201600).

34801976 is an abundant number, since it is smaller than the sum of its proper divisors (37601224).

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

34801976 is a wasteful number, since it uses less digits than its factorization.

34801976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6779 (or 6775 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 34801976 is about 5899.3199608090. The cubic root of 34801976 is about 326.4885594873.

The spelling of 34801976 in words is "thirty-four million, eight hundred one thousand, nine hundred seventy-six".