346113060050700 has 576 divisors, whose sum is σ = 1147859522288640. Its totient is φ = 89437582080000.

The previous prime is 346113060050677. The next prime is 346113060050749. The reversal of 346113060050700 is 7050060311643.

346113060050700 is a `hidden beast` number, since 3 + 4 + 6 + 11 + 30 + 600 + 5 + 0 + 7 + 0 + 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 191 ways as a sum of consecutive naturals, for example, 2652487659 + ... + 2652618141.

It is an arithmetic number, because the mean of its divisors is an integer number (1992811670640).

Almost surely, 2^{346113060050700} is an apocalyptic number.

346113060050700 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 346113060050700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573929761144320).

346113060050700 is an abundant number, since it is smaller than the sum of its proper divisors (801746462237940).

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

346113060050700 is a wasteful number, since it uses less digits than its factorization.

346113060050700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130815 (or 130802 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 346113060050700 in words is "three hundred forty-six trillion, one hundred thirteen billion, sixty million, fifty thousand, seven hundred".