30341724672 has 640 divisors, whose sum is σ = 102324879360. Its totient is φ = 7803371520.

The previous prime is 30341724631. The next prime is 30341724713. The reversal of 30341724672 is 27642714303.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30341724631) and next prime (30341724713).

It is a self number, because there is not a number n which added to its sum of digits gives 30341724672.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 415640028 + ... + 415640100.

It is an arithmetic number, because the mean of its divisors is an integer number (159882624).

Almost surely, 2^30341724672 is an apocalyptic number.

30341724672 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 30341724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51162439680).

30341724672 is an abundant number, since it is smaller than the sum of its proper divisors (71983154688).

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

30341724672 is a wasteful number, since it uses less digits than its factorization.

30341724672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 30341724672 in words is "thirty billion, three hundred forty-one million, seven hundred twenty-four thousand, six hundred seventy-two".