30874008480 has 192 divisors, whose sum is σ = 111408369408. Its totient is φ = 7040286720.

The previous prime is 30874008469. The next prime is 30874008481. The reversal of 30874008480 is 8480047803.

It is a super-2 number, since 2×30874008480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (30874008481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1444270 + ... + 1465490.

It is an arithmetic number, because the mean of its divisors is an integer number (580251924).

Almost surely, 2^30874008480 is an apocalyptic number.

30874008480 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 30874008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55704184704).

30874008480 is an abundant number, since it is smaller than the sum of its proper divisors (80534360928).

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

30874008480 is a wasteful number, since it uses less digits than its factorization.

30874008480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21679 (or 21671 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 30874008480 in words is "thirty billion, eight hundred seventy-four million, eight thousand, four hundred eighty".