34630080 has 56 divisors (see below), whose sum is σ = 109953552. Its totient is φ = 9234432.

The previous prime is 34630073. The next prime is 34630087. The reversal of 34630080 is 8003643.

It is an interprime number because it is at equal distance from previous prime (34630073) and next prime (34630087).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34630080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34630087) 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, 17077 + ... + 18996.

Almost surely, 2^34630080 is an apocalyptic number.

34630080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34630080 is an abundant number, since it is smaller than the sum of its proper divisors (75323472).

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

34630080 is a wasteful number, since it uses less digits than its factorization.

34630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36093 (or 36083 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34630080 is about 5884.7327891757. The cubic root of 34630080 is about 325.9501347695.

The spelling of 34630080 in words is "thirty-four million, six hundred thirty thousand, eighty".