34399434720 has 576 divisors, whose sum is σ = 134405671680. Its totient is φ = 7348174848.

The previous prime is 34399434701. The next prime is 34399434787. The reversal of 34399434720 is 2743499343.

It is a super-2 number, since 2×34399434720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34399434720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90763491 + ... + 90763869.

It is an arithmetic number, because the mean of its divisors is an integer number (233343180).

Almost surely, 2^34399434720 is an apocalyptic number.

34399434720 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 34399434720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67202835840).

34399434720 is an abundant number, since it is smaller than the sum of its proper divisors (100006236960).

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

34399434720 is a wasteful number, since it uses less digits than its factorization.

34399434720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 48.

The spelling of 34399434720 in words is "thirty-four billion, three hundred ninety-nine million, four hundred thirty-four thousand, seven hundred twenty".