34979520 has 112 divisors (see below), whose sum is σ = 112654080. Its totient is φ = 9194496.

The previous prime is 34979491. The next prime is 34979537. The reversal of 34979520 is 2597943.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79461 + ... + 79899.

It is an arithmetic number, because the mean of its divisors is an integer number (1005840).

Almost surely, 2^34979520 is an apocalyptic number.

34979520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56327040).

34979520 is an abundant number, since it is smaller than the sum of its proper divisors (77674560).

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

34979520 is a wasteful number, since it uses less digits than its factorization.

34979520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 34979520 is about 5914.3486539094. The cubic root of 34979520 is about 327.0428172010.

The spelling of 34979520 in words is "thirty-four million, nine hundred seventy-nine thousand, five hundred twenty".