345802968000 has 336 divisors, whose sum is σ = 1413710460864. Its totient is φ = 79040563200.

The previous prime is 345802967987. The next prime is 345802968001. The reversal of 345802968000 is 869208543.

345802968000 is a `hidden beast` number, since 3 + 4 + 580 + 2 + 9 + 68 + 0 + 0 + 0 = 666.

345802968000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345802968001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160942 + ... + 847058.

Almost surely, 2^345802968000 is an apocalyptic number.

345802968000 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 345802968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706855230432).

345802968000 is an abundant number, since it is smaller than the sum of its proper divisors (1067907492864).

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

345802968000 is a wasteful number, since it uses less digits than its factorization.

345802968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686157 (or 686134 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 345802968000 in words is "three hundred forty-five billion, eight hundred two million, nine hundred sixty-eight thousand".