30374077289472 has 880 divisors, whose sum is σ = 108318462988032. Its totient is φ = 8289410088960.

The previous prime is 30374077289459. The next prime is 30374077289477. The reversal of 30374077289472 is 27498277047303.

30374077289472 is a `hidden beast` number, since 3 + 0 + 3 + 7 + 407 + 72 + 8 + 94 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30374077289477) 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 79 ways as a sum of consecutive naturals, for example, 14595903472 + ... + 14595905552.

Almost surely, 2^{30374077289472} is an apocalyptic number.

30374077289472 is a gapful number since it is divisible by the number (32) 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 30374077289472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54159231494016).

30374077289472 is an abundant number, since it is smaller than the sum of its proper divisors (77944385698560).

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

30374077289472 is a wasteful number, since it uses less digits than its factorization.

30374077289472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 63.

The spelling of 30374077289472 in words is "thirty trillion, three hundred seventy-four billion, seventy-seven million, two hundred eighty-nine thousand, four hundred seventy-two".