30513938400 has 432 divisors, whose sum is σ = 120257334288. Its totient is φ = 7216128000.

The previous prime is 30513938381. The next prime is 30513938447. The reversal of 30513938400 is 483931503.

It is a super-3 number, since 3×30513938400³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3242502 + ... + 3251898.

It is an arithmetic number, because the mean of its divisors is an integer number (278373459).

Almost surely, 2^30513938400 is an apocalyptic number.

30513938400 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 30513938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60128667144).

30513938400 is an abundant number, since it is smaller than the sum of its proper divisors (89743395888).

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

30513938400 is a wasteful number, since it uses less digits than its factorization.

30513938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9475 (or 9459 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 30513938400 in words is "thirty billion, five hundred thirteen million, nine hundred thirty-eight thousand, four hundred".