346640325120 has 640 divisors, whose sum is σ = 1312726694400. Its totient is φ = 86399778816.

The previous prime is 346640325077. The next prime is 346640325139. The reversal of 346640325120 is 21523046643.

346640325120 is a `hidden beast` number, since 3 + 4 + 6 + 640 + 3 + 2 + 5 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184480341 + ... + 184482219.

It is an arithmetic number, because the mean of its divisors is an integer number (2051135460).

Almost surely, 2^346640325120 is an apocalyptic number.

346640325120 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 346640325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656363347200).

346640325120 is an abundant number, since it is smaller than the sum of its proper divisors (966086369280).

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

346640325120 is a wasteful number, since it uses less digits than its factorization.

346640325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 346640325120 in words is "three hundred forty-six billion, six hundred forty million, three hundred twenty-five thousand, one hundred twenty".