30977390592 has 288 divisors, whose sum is σ = 92565018000. Its totient is φ = 9973923840.

The previous prime is 30977390579. The next prime is 30977390603. The reversal of 30977390592 is 29509377903.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×30977390592² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135272334 + ... + 135272562.

Almost surely, 2^30977390592 is an apocalyptic number.

30977390592 is a gapful number since it is divisible by the number (32) 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 30977390592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46282509000).

30977390592 is an abundant number, since it is smaller than the sum of its proper divisors (61587627408).

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

30977390592 is a wasteful number, since it uses less digits than its factorization.

30977390592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 3214890, while the sum is 54.

The spelling of 30977390592 in words is "thirty billion, nine hundred seventy-seven million, three hundred ninety thousand, five hundred ninety-two".