34661657482920 has 640 divisors, whose sum is σ = 130027762529280. Its totient is φ = 8223897600000.

The previous prime is 34661657482901. The next prime is 34661657482957. The reversal of 34661657482920 is 2928475616643.

34661657482920 is a `hidden beast` number, since 3 + 4 + 6 + 6 + 1 + 65 + 7 + 482 + 92 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 327682840 + ... + 327788600.

It is an arithmetic number, because the mean of its divisors is an integer number (203168378952).

It is a 1-persistent number, because it is pandigital, but 2⋅34661657482920 = 69323314965840 is not.

Almost surely, 2^{34661657482920} is an apocalyptic number.

34661657482920 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 34661657482920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65013881264640).

34661657482920 is an abundant number, since it is smaller than the sum of its proper divisors (95366105046360).

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

34661657482920 is a wasteful number, since it uses less digits than its factorization.

34661657482920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106079 (or 106066 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 34661657482920 in words is "thirty-four trillion, six hundred sixty-one billion, six hundred fifty-seven million, four hundred eighty-two thousand, nine hundred twenty".