34964864 has 64 divisors (see below), whose sum is σ = 80049600. Its totient is φ = 15045120.

The previous prime is 34964863. The next prime is 34964893. The reversal of 34964864 is 46846943.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34964861) 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, 26099 + ... + 27405.

It is an arithmetic number, because the mean of its divisors is an integer number (1250775).

Almost surely, 2^34964864 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 34964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40024800).

34964864 is an abundant number, since it is smaller than the sum of its proper divisors (45084736).

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

34964864 is a wasteful number, since it uses less digits than its factorization.

34964864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1339 counting only the distinct ones).

The product of its digits is 497664, while the sum is 44.

The square root of 34964864 is about 5913.1095034677. The cubic root of 34964864 is about 326.9971351456.

The spelling of 34964864 in words is "thirty-four million, nine hundred sixty-four thousand, eight hundred sixty-four".