974345688 has 192 divisors, whose sum is σ = 2931552000. Its totient is φ = 290974464.

The previous prime is 974345663. The next prime is 974345719. The reversal of 974345688 is 886543479.

974345688 is a `hidden beast` number, since 9 + 74 + 3 + 4 + 568 + 8 = 666.

974345688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5443183 + ... + 5443361.

It is an arithmetic number, because the mean of its divisors is an integer number (15268500).

Almost surely, 2^974345688 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 974345688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465776000).

974345688 is an abundant number, since it is smaller than the sum of its proper divisors (1957206312).

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

974345688 is a wasteful number, since it uses less digits than its factorization.

974345688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 399 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 974345688 is about 31214.5108563309. The cubic root of 974345688 is about 991.3743751827.

The spelling of 974345688 in words is "nine hundred seventy-four million, three hundred forty-five thousand, six hundred eighty-eight".