34379680 has 48 divisors (see below), whose sum is σ = 81817344. Its totient is φ = 13651200.

The previous prime is 34379677. The next prime is 34379699. The reversal of 34379680 is 8697343.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23449 + ... + 24871.

It is an arithmetic number, because the mean of its divisors is an integer number (1704528).

Almost surely, 2^34379680 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 34379680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40908672).

34379680 is an abundant number, since it is smaller than the sum of its proper divisors (47437664).

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

34379680 is a wasteful number, since it uses less digits than its factorization.

34379680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 34379680 is about 5863.4187979369. The cubic root of 34379680 is about 325.1626168444.

The spelling of 34379680 in words is "thirty-four million, three hundred seventy-nine thousand, six hundred eighty".