34399572480 has 800 divisors, whose sum is σ = 151724289024. Its totient is φ = 7253950464.

The previous prime is 34399572479. The next prime is 34399572497. The reversal of 34399572480 is 8427599343.

34399572480 is a `hidden beast` number, since 3 + 4 + 3 + 9 + 95 + 72 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18868849 + ... + 18870671.

Almost surely, 2^34399572480 is an apocalyptic number.

34399572480 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 34399572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75862144512).

34399572480 is an abundant number, since it is smaller than the sum of its proper divisors (117324716544).

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

34399572480 is a wasteful number, since it uses less digits than its factorization.

34399572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 34399572480 in words is "thirty-four billion, three hundred ninety-nine million, five hundred seventy-two thousand, four hundred eighty".