34974960 has 80 divisors (see below), whose sum is σ = 110245920. Its totient is φ = 9169920.

The previous prime is 34974943. The next prime is 34974997. The reversal of 34974960 is 6947943.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 13446 + ... + 15834.

It is an arithmetic number, because the mean of its divisors is an integer number (1378074).

Almost surely, 2^34974960 is an apocalyptic number.

34974960 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 34974960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55122960).

34974960 is an abundant number, since it is smaller than the sum of its proper divisors (75270960).

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

34974960 is a wasteful number, since it uses less digits than its factorization.

34974960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 34974960 is about 5913.9631382010. The cubic root of 34974960 is about 327.0286052654.

The spelling of 34974960 in words is "thirty-four million, nine hundred seventy-four thousand, nine hundred sixty".