34132896 has 72 divisors (see below), whose sum is σ = 110938464. Its totient is φ = 9751680.

The previous prime is 34132883. The next prime is 34132909. The reversal of 34132896 is 69823143.

It is an interprime number because it is at equal distance from previous prime (34132883) and next prime (34132909).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 34132896.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6450 + ... + 10481.

It is an arithmetic number, because the mean of its divisors is an integer number (1540812).

Almost surely, 2^34132896 is an apocalyptic number.

34132896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34132896 is an abundant number, since it is smaller than the sum of its proper divisors (76805568).

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

34132896 is a wasteful number, since it uses less digits than its factorization.

34132896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16954 (or 16943 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 34132896 is about 5842.3365188938. The cubic root of 34132896 is about 324.3827210342.

The spelling of 34132896 in words is "thirty-four million, one hundred thirty-two thousand, eight hundred ninety-six".