34400960 has 112 divisors (see below), whose sum is σ = 92720160. Its totient is φ = 12042240.

The previous prime is 34400923. The next prime is 34400969. The reversal of 34400960 is 6900443.

It is not an unprimeable number, because it can be changed into a prime (34400969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101912 + ... + 102248.

Almost surely, 2^34400960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46360080).

34400960 is an abundant number, since it is smaller than the sum of its proper divisors (58319200).

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

34400960 is a wasteful number, since it uses less digits than its factorization.

34400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 34400960 is about 5865.2331581958. The cubic root of 34400960 is about 325.2296916720.

The spelling of 34400960 in words is "thirty-four million, four hundred thousand, nine hundred sixty".