346725980160 has 384 divisors, whose sum is σ = 1272274698240. Its totient is φ = 78966816768.

The previous prime is 346725980119. The next prime is 346725980297. The reversal of 346725980160 is 61089527643.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63003969 + ... + 63009471.

It is an arithmetic number, because the mean of its divisors is an integer number (3313215360).

It is a 1-persistent number, because it is pandigital, but 2⋅346725980160 = 693451960320 is not.

Almost surely, 2^346725980160 is an apocalyptic number.

346725980160 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 346725980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636137349120).

346725980160 is an abundant number, since it is smaller than the sum of its proper divisors (925548718080).

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

346725980160 is a wasteful number, since it uses less digits than its factorization.

346725980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5813 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 346725980160 in words is "three hundred forty-six billion, seven hundred twenty-five million, nine hundred eighty thousand, one hundred sixty".