34913984 has 28 divisors (see below), whose sum is σ = 79180944. Its totient is φ = 14962944.

The previous prime is 34913981. The next prime is 34914007. The reversal of 34913984 is 48931943.

It is a tau number, because it is divible by the number of its divisors (28).

It is not an unprimeable number, because it can be changed into a prime (34913981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38519 + ... + 39414.

Almost surely, 2^34913984 is an apocalyptic number.

It is an amenable number.

34913984 is an abundant number, since it is smaller than the sum of its proper divisors (44266960).

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

34913984 is an equidigital number, since it uses as much as digits as its factorization.

34913984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77952 (or 77942 counting only the distinct ones).

The product of its digits is 93312, while the sum is 41.

The square root of 34913984 is about 5908.8056322746. The cubic root of 34913984 is about 326.8384454490.

The spelling of 34913984 in words is "thirty-four million, nine hundred thirteen thousand, nine hundred eighty-four".