30993732000 has 768 divisors, whose sum is σ = 140692930560. Its totient is φ = 6438528000.

The previous prime is 30993731981. The next prime is 30993732037. The reversal of 30993732000 is 23739903.

It is a super-2 number, since 2×30993732000² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8314137 + ... + 8317863.

It is an arithmetic number, because the mean of its divisors is an integer number (183193920).

Almost surely, 2^30993732000 is an apocalyptic number.

30993732000 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 30993732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70346465280).

30993732000 is an abundant number, since it is smaller than the sum of its proper divisors (109699198560).

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

30993732000 is a wasteful number, since it uses less digits than its factorization.

30993732000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 36.

The spelling of 30993732000 in words is "thirty billion, nine hundred ninety-three million, seven hundred thirty-two thousand".