346161744720 has 640 divisors, whose sum is σ = 1360712908800. Its totient is φ = 80066764800.

The previous prime is 346161744671. The next prime is 346161744727. The reversal of 346161744720 is 27447161643.

346161744720 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 6 + 174 + 472 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346161744727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 392918680 + ... + 392919560.

It is an arithmetic number, because the mean of its divisors is an integer number (2126113920).

Almost surely, 2^346161744720 is an apocalyptic number.

346161744720 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 346161744720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680356454400).

346161744720 is an abundant number, since it is smaller than the sum of its proper divisors (1014551164080).

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

346161744720 is a wasteful number, since it uses less digits than its factorization.

346161744720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 346161744720 in words is "three hundred forty-six billion, one hundred sixty-one million, seven hundred forty-four thousand, seven hundred twenty".