34688680 has 64 divisors (see below), whose sum is σ = 88502400. Its totient is φ = 12130560.

The previous prime is 34688671. The next prime is 34688681. The reversal of 34688680 is 8688643.

It is not an unprimeable number, because it can be changed into a prime (34688681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8125 + ... + 11635.

It is an arithmetic number, because the mean of its divisors is an integer number (1382850).

Almost surely, 2^34688680 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 34688680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44251200).

34688680 is an abundant number, since it is smaller than the sum of its proper divisors (53813720).

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

34688680 is a wasteful number, since it uses less digits than its factorization.

34688680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 34688680 is about 5889.7096702639. The cubic root of 34688680 is about 326.1338855640.

The spelling of 34688680 in words is "thirty-four million, six hundred eighty-eight thousand, six hundred eighty".