345139363800 has 1344 divisors, whose sum is σ = 1524637416960. Its totient is φ = 70543872000.

The previous prime is 345139363769. The next prime is 345139363813. The reversal of 345139363800 is 8363931543.

345139363800 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 3 + 9 + 3 + 638 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 797088384 + ... + 797088816.

It is an arithmetic number, because the mean of its divisors is an integer number (1134402840).

Almost surely, 2^345139363800 is an apocalyptic number.

345139363800 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 345139363800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762318708480).

345139363800 is an abundant number, since it is smaller than the sum of its proper divisors (1179498053160).

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

345139363800 is a wasteful number, since it uses less digits than its factorization.

345139363800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 345139363800 in words is "three hundred forty-five billion, one hundred thirty-nine million, three hundred sixty-three thousand, eight hundred".