345403289370100 has 72 divisors (see below), whose sum is σ = 815502370832408. Its totient is φ = 126218743603200.

The previous prime is 345403289370079. The next prime is 345403289370103. The reversal of 345403289370100 is 1073982304543.

It can be written as a sum of positive squares in 12 ways, for example, as 277071871266576 + 68331418103524 = 16645476^2 + 8266282^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345403289370103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1369434921 + ... + 1369687120.

Almost surely, 2^{345403289370100} is an apocalyptic number.

It is an amenable number.

345403289370100 is an abundant number, since it is smaller than the sum of its proper divisors (470099081462308).

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

345403289370100 is a wasteful number, since it uses less digits than its factorization.

345403289370100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739122165 (or 2739122158 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 345403289370100 in words is "three hundred forty-five trillion, four hundred three billion, two hundred eighty-nine million, three hundred seventy thousand, one hundred".