34004295720 has 320 divisors, whose sum is σ = 120233963520. Its totient is φ = 8602868736.

The previous prime is 34004295683. The next prime is 34004295737. The reversal of 34004295720 is 2759240043.

34004295720 is a `hidden beast` number, since 3 + 40 + 0 + 42 + 9 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9462244 + ... + 9465836.

It is an arithmetic number, because the mean of its divisors is an integer number (375731136).

Almost surely, 2^34004295720 is an apocalyptic number.

34004295720 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 34004295720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60116981760).

34004295720 is an abundant number, since it is smaller than the sum of its proper divisors (86229667800).

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

34004295720 is a wasteful number, since it uses less digits than its factorization.

34004295720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 34004295720 in words is "thirty-four billion, four million, two hundred ninety-five thousand, seven hundred twenty".