34608672 has 72 divisors (see below), whose sum is σ = 112484736. Its totient is φ = 9887616.

The previous prime is 34608661. The next prime is 34608683. The reversal of 34608672 is 27680643.

It is an interprime number because it is at equal distance from previous prime (34608661) and next prime (34608683).

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6568 + ... + 10599.

It is an arithmetic number, because the mean of its divisors is an integer number (1562288).

Almost surely, 2^34608672 is an apocalyptic number.

34608672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34608672 is an abundant number, since it is smaller than the sum of its proper divisors (77876064).

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

34608672 is a wasteful number, since it uses less digits than its factorization.

34608672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17190 (or 17179 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 34608672 is about 5882.9135638729. The cubic root of 34608672 is about 325.8829544561.

The spelling of 34608672 in words is "thirty-four million, six hundred eight thousand, six hundred seventy-two".