34914960 has 120 divisors (see below), whose sum is σ = 119081664. Its totient is φ = 9166080.

The previous prime is 34914953. The next prime is 34914977. The reversal of 34914960 is 6941943.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50779 + ... + 51461.

Almost surely, 2^34914960 is an apocalyptic number.

34914960 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 34914960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59540832).

34914960 is an abundant number, since it is smaller than the sum of its proper divisors (84166704).

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

34914960 is a wasteful number, since it uses less digits than its factorization.

34914960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 34914960 is about 5908.8882203000. Note that the first 3 decimals coincide. The cubic root of 34914960 is about 326.8414909465.

The spelling of 34914960 in words is "thirty-four million, nine hundred fourteen thousand, nine hundred sixty".