34600121131680 has 576 divisors, whose sum is σ = 139621699945728. Its totient is φ = 8015953674240.

The previous prime is 34600121131673. The next prime is 34600121131691. The reversal of 34600121131680 is 8613112100643.

34600121131680 is a `hidden beast` number, since 3 + 4 + 600 + 1 + 2 + 11 + 31 + 6 + 8 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 6579085 + ... + 10605875.

It is an arithmetic number, because the mean of its divisors is an integer number (242398784628).

Almost surely, 2^{34600121131680} is an apocalyptic number.

34600121131680 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 34600121131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69810849972864).

34600121131680 is an abundant number, since it is smaller than the sum of its proper divisors (105021578814048).

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

34600121131680 is a wasteful number, since it uses less digits than its factorization.

34600121131680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4026851 (or 4026831 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 34600121131680 in words is "thirty-four trillion, six hundred billion, one hundred twenty-one million, one hundred thirty-one thousand, six hundred eighty".