30364712400 has 120 divisors (see below), whose sum is σ = 106110913824. Its totient is φ = 7361139200.

The previous prime is 30364712393. The next prime is 30364712473. The reversal of 30364712400 is 421746303.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1136979 + ... + 1163378.

Almost surely, 2^30364712400 is an apocalyptic number.

30364712400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30364712400 is an abundant number, since it is smaller than the sum of its proper divisors (75746201424).

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

30364712400 is a wasteful number, since it uses less digits than its factorization.

30364712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300389 (or 2300378 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 30364712400 in words is "thirty billion, three hundred sixty-four million, seven hundred twelve thousand, four hundred".