345399843176640 has 2688 divisors, whose sum is σ = 1616567057740800. Its totient is φ = 68755506462720.

The previous prime is 345399843176561. The next prime is 345399843176651. The reversal of 345399843176640 is 46671348993543.

345399843176640 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 9 + 98 + 431 + 7 + 66 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5880017670 + ... + 5880076410.

Almost surely, 2^{345399843176640} is an apocalyptic number.

345399843176640 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 345399843176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808283528870400).

345399843176640 is an abundant number, since it is smaller than the sum of its proper divisors (1271167214564160).

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

345399843176640 is a wasteful number, since it uses less digits than its factorization.

345399843176640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58860 (or 58837 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 72.

The spelling of 345399843176640 in words is "three hundred forty-five trillion, three hundred ninety-nine billion, eight hundred forty-three million, one hundred seventy-six thousand, six hundred forty".