30942912000 has 1920 divisors, whose sum is σ = 146708610048. Its totient is φ = 5677056000.

The previous prime is 30942911971. The next prime is 30942912001. The reversal of 30942912000 is 21924903.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30942912001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1345343989 + ... + 1345344011.

Almost surely, 2^30942912000 is an apocalyptic number.

30942912000 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 30942912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73354305024).

30942912000 is an abundant number, since it is smaller than the sum of its proper divisors (115765698048).

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

30942912000 is a wasteful number, since it uses less digits than its factorization.

30942912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 30942912000 in words is "thirty billion, nine hundred forty-two million, nine hundred twelve thousand".