345384400760600 has 192 divisors, whose sum is σ = 834311492551680. Its totient is φ = 132830228160000.

The previous prime is 345384400760579. The next prime is 345384400760621. The reversal of 345384400760600 is 6067004483543.

It is an interprime number because it is at equal distance from previous prime (345384400760579) and next prime (345384400760621).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 746751014 + ... + 747213386.

It is an arithmetic number, because the mean of its divisors is an integer number (4345372357040).

Almost surely, 2^{345384400760600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345384400760600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417155746275840).

345384400760600 is an abundant number, since it is smaller than the sum of its proper divisors (488927091791080).

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

345384400760600 is a wasteful number, since it uses less digits than its factorization.

345384400760600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463202 (or 463193 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 50.

The spelling of 345384400760600 in words is "three hundred forty-five trillion, three hundred eighty-four billion, four hundred million, seven hundred sixty thousand, six hundred".