30438374400 has 924 divisors, whose sum is σ = 129839113872. Its totient is φ = 6927482880.

The previous prime is 30438374381. The next prime is 30438374401. The reversal of 30438374400 is 447383403.

It is a happy number.

It is a super-2 number, since 2×30438374400² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30438374401) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 130636684 + ... + 130636916.

Almost surely, 2^30438374400 is an apocalyptic number.

30438374400 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 30438374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64919556936).

30438374400 is an abundant number, since it is smaller than the sum of its proper divisors (99400739472).

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

30438374400 is an equidigital number, since it uses as much as digits as its factorization.

30438374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 30438374400 in words is "thirty billion, four hundred thirty-eight million, three hundred seventy-four thousand, four hundred".