345762064324400 has 90 divisors (see below), whose sum is σ = 845011547823732. Its totient is φ = 135960675593600.

The previous prime is 345762064324349. The next prime is 345762064324421. The reversal of 345762064324400 is 4423460267543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 122768066 + ... + 125552865.

Almost surely, 2^{345762064324400} is an apocalyptic number.

It is an amenable number.

345762064324400 is an abundant number, since it is smaller than the sum of its proper divisors (499249483499332).

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

345762064324400 is a wasteful number, since it uses less digits than its factorization.

345762064324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248321067 (or 248320997 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 50.

The spelling of 345762064324400 in words is "three hundred forty-five trillion, seven hundred sixty-two billion, sixty-four million, three hundred twenty-four thousand, four hundred".