34905975720 has 512 divisors, whose sum is σ = 133418741760. Its totient is φ = 7096320000.

The previous prime is 34905975703. The next prime is 34905975749. The reversal of 34905975720 is 2757950943.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105455955 + ... + 105456285.

It is an arithmetic number, because the mean of its divisors is an integer number (260583480).

Almost surely, 2^34905975720 is an apocalyptic number.

34905975720 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 34905975720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66709370880).

34905975720 is an abundant number, since it is smaller than the sum of its proper divisors (98512766040).

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

34905975720 is a wasteful number, since it uses less digits than its factorization.

34905975720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 51.

The spelling of 34905975720 in words is "thirty-four billion, nine hundred five million, nine hundred seventy-five thousand, seven hundred twenty".