30744386400 has 1152 divisors, whose sum is σ = 134391398400. Its totient is φ = 5922201600.

The previous prime is 30744386399. The next prime is 30744386411. The reversal of 30744386400 is 468344703.

It is a super-2 number, since 2×30744386400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128637481 + ... + 128637719.

It is an arithmetic number, because the mean of its divisors is an integer number (116659200).

Almost surely, 2^30744386400 is an apocalyptic number.

30744386400 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 30744386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67195699200).

30744386400 is an abundant number, since it is smaller than the sum of its proper divisors (103647012000).

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

30744386400 is a wasteful number, since it uses less digits than its factorization.

30744386400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 30744386400 in words is "thirty billion, seven hundred forty-four million, three hundred eighty-six thousand, four hundred".