34071390720 has 320 divisors, whose sum is σ = 124936289280. Its totient is φ = 8792064000.

The previous prime is 34071390707. The next prime is 34071390757. The reversal of 34071390720 is 2709317043.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 2134770 + ... + 2150670.

It is an arithmetic number, because the mean of its divisors is an integer number (390425904).

Almost surely, 2^34071390720 is an apocalyptic number.

34071390720 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 34071390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62468144640).

34071390720 is an abundant number, since it is smaller than the sum of its proper divisors (90864898560).

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

34071390720 is a wasteful number, since it uses less digits than its factorization.

34071390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15964 (or 15942 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 34071390720 in words is "thirty-four billion, seventy-one million, three hundred ninety thousand, seven hundred twenty".