34476960 has 192 divisors, whose sum is σ = 128507904. Its totient is φ = 7603200.

The previous prime is 34476919. The next prime is 34476971. The reversal of 34476960 is 6967443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103995 + ... + 104325.

It is an arithmetic number, because the mean of its divisors is an integer number (669312).

Almost surely, 2^34476960 is an apocalyptic number.

34476960 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 34476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64253952).

34476960 is an abundant number, since it is smaller than the sum of its proper divisors (94030944).

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

34476960 is a wasteful number, since it uses less digits than its factorization.

34476960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 34476960 is about 5871.7084396281. The cubic root of 34476960 is about 325.4690190688.

The spelling of 34476960 in words is "thirty-four million, four hundred seventy-six thousand, nine hundred sixty".