34464960 has 112 divisors (see below), whose sum is σ = 121615200. Its totient is φ = 9188352.

The previous prime is 34464923. The next prime is 34464961. The reversal of 34464960 is 6946443.

34464960 is a `hidden beast` number, since 3 + 4 + 4 + 649 + 6 + 0 = 666.

It is a super-3 number, since 3×34464960³ (a number of 24 digits) contains 333 as substring.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (34464961) 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, 6646 + ... + 10634.

It is an arithmetic number, because the mean of its divisors is an integer number (1085850).

Almost surely, 2^34464960 is an apocalyptic number.

34464960 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 34464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60807600).

34464960 is an abundant number, since it is smaller than the sum of its proper divisors (87150240).

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

34464960 is a wasteful number, since it uses less digits than its factorization.

34464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 34464960 is about 5870.6865015942. The cubic root of 34464960 is about 325.4312539309.

The spelling of 34464960 in words is "thirty-four million, four hundred sixty-four thousand, nine hundred sixty".