34364832 has 24 divisors (see below), whose sum is σ = 90207936. Its totient is φ = 11454912.

The previous prime is 34364819. The next prime is 34364851. The reversal of 34364832 is 23846343.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34364793 and 34364802.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 178888 + ... + 179079.

It is an arithmetic number, because the mean of its divisors is an integer number (3758664).

Almost surely, 2^34364832 is an apocalyptic number.

34364832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34364832 is an abundant number, since it is smaller than the sum of its proper divisors (55843104).

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

34364832 is a wasteful number, since it uses less digits than its factorization.

34364832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357980 (or 357972 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 34364832 is about 5862.1525056928. The cubic root of 34364832 is about 325.1157993663.

The spelling of 34364832 in words is "thirty-four million, three hundred sixty-four thousand, eight hundred thirty-two".