30740860800 has 576 divisors, whose sum is σ = 122543562960. Its totient is φ = 7564492800.

The previous prime is 30740860789. The next prime is 30740860853. The reversal of 30740860800 is 806804703.

30740860800 is a `hidden beast` number, since 3 + 0 + 7 + 40 + 8 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 10107280 + ... + 10110320.

Almost surely, 2^30740860800 is an apocalyptic number.

30740860800 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 30740860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61271781480).

30740860800 is an abundant number, since it is smaller than the sum of its proper divisors (91802702160).

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

30740860800 is a wasteful number, since it uses less digits than its factorization.

30740860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 30740860800 in words is "thirty billion, seven hundred forty million, eight hundred sixty thousand, eight hundred".