34974720 has 352 divisors, whose sum is σ = 141488640. Its totient is φ = 8110080.

The previous prime is 34974713. The next prime is 34974739. The reversal of 34974720 is 2747943.

It is a tau number, because it is divible by the number of its divisors (352).

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 31 ways as a sum of consecutive naturals, for example, 1520629 + ... + 1520651.

Almost surely, 2^34974720 is an apocalyptic number.

34974720 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 34974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70744320).

34974720 is an abundant number, since it is smaller than the sum of its proper divisors (106513920).

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

34974720 is a wasteful number, since it uses less digits than its factorization.

34974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 34974720 is about 5913.9428472044. The cubic root of 34974720 is about 327.0278572345.

The spelling of 34974720 in words is "thirty-four million, nine hundred seventy-four thousand, seven hundred twenty".