345165637400 has 72 divisors (see below), whose sum is σ = 829233069660. Its totient is φ = 133612430400.

The previous prime is 345165637381. The next prime is 345165637417. The reversal of 345165637400 is 4736561543.

It is a congruent number.

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, 705734 + ... + 1090133.

Almost surely, 2^345165637400 is an apocalyptic number.

It is an amenable number.

345165637400 is an abundant number, since it is smaller than the sum of its proper divisors (484067432260).

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

345165637400 is a wasteful number, since it uses less digits than its factorization.

345165637400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795945 (or 1795905 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 44.

The spelling of 345165637400 in words is "three hundred forty-five billion, one hundred sixty-five million, six hundred thirty-seven thousand, four hundred".