345637272960 has 1024 divisors, whose sum is σ = 1468329984000. Its totient is φ = 75129348096.

The previous prime is 345637272901. The next prime is 345637272973. The reversal of 345637272960 is 69272736543.

345637272960 is a `hidden beast` number, since 3 + 4 + 563 + 7 + 2 + 72 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 345637272897 and 345637272906.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 787328421 + ... + 787328859.

It is an arithmetic number, because the mean of its divisors is an integer number (1433916000).

Almost surely, 2^345637272960 is an apocalyptic number.

345637272960 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 345637272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734164992000).

345637272960 is an abundant number, since it is smaller than the sum of its proper divisors (1122692711040).

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

345637272960 is a wasteful number, since it uses less digits than its factorization.

345637272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 345637272960 in words is "three hundred forty-five billion, six hundred thirty-seven million, two hundred seventy-two thousand, nine hundred sixty".