34661756820 has 48 divisors (see below), whose sum is σ = 97072351488. Its totient is φ = 9241284480.

The previous prime is 34661756743. The next prime is 34661756849. The reversal of 34661756820 is 2865716643.

It is a self number, because there is not a number n which added to its sum of digits gives 34661756820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258642 + ... + 369078.

It is an arithmetic number, because the mean of its divisors is an integer number (2022340656).

Almost surely, 2^34661756820 is an apocalyptic number.

34661756820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34661756820 is an abundant number, since it is smaller than the sum of its proper divisors (62410594668).

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

34661756820 is a wasteful number, since it uses less digits than its factorization.

34661756820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115680 (or 115678 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 34661756820 in words is "thirty-four billion, six hundred sixty-one million, seven hundred fifty-six thousand, eight hundred twenty".