34056960 has 216 divisors, whose sum is σ = 127226736. Its totient is φ = 7741440.

The previous prime is 34056959. The next prime is 34057027. The reversal of 34056960 is 6965043.

It is a happy number.

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, 188070 + ... + 188250.

Almost surely, 2^34056960 is an apocalyptic number.

34056960 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 34056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63613368).

34056960 is an abundant number, since it is smaller than the sum of its proper divisors (93169776).

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

34056960 is a wasteful number, since it uses less digits than its factorization.

34056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 34056960 is about 5835.8341306106. The cubic root of 34056960 is about 324.1419892823.

The spelling of 34056960 in words is "thirty-four million, fifty-six thousand, nine hundred sixty".