34781725680 has 320 divisors, whose sum is σ = 119692339200. Its totient is φ = 8299819008.

The previous prime is 34781725639. The next prime is 34781725691. The reversal of 34781725680 is 8652718743.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58066021 + ... + 58066619.

It is an arithmetic number, because the mean of its divisors is an integer number (374038560).

Almost surely, 2^34781725680 is an apocalyptic number.

34781725680 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 34781725680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59846169600).

34781725680 is an abundant number, since it is smaller than the sum of its proper divisors (84910613520).

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

34781725680 is a wasteful number, since it uses less digits than its factorization.

34781725680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 34781725680 in words is "thirty-four billion, seven hundred eighty-one million, seven hundred twenty-five thousand, six hundred eighty".