345791001600 has 1584 divisors, whose sum is σ = 1463511329280. Its totient is φ = 77104742400.

The previous prime is 345791001593. The next prime is 345791001623. The reversal of 345791001600 is 6100197543.

345791001600 is a `hidden beast` number, since 3 + 45 + 7 + 9 + 1 + 0 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2070604717 + ... + 2070604883.

It is an arithmetic number, because the mean of its divisors is an integer number (923933920).

Almost surely, 2^345791001600 is an apocalyptic number.

345791001600 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 345791001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731755664640).

345791001600 is an abundant number, since it is smaller than the sum of its proper divisors (1117720327680).

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

345791001600 is a wasteful number, since it uses less digits than its factorization.

345791001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 345791001600 in words is "three hundred forty-five billion, seven hundred ninety-one million, one thousand, six hundred".