345226358400 has 576 divisors, whose sum is σ = 1428443365440. Its totient is φ = 71733657600.

The previous prime is 345226358369. The next prime is 345226358417. The reversal of 345226358400 is 4853622543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8109972 + ... + 8152428.

Almost surely, 2^345226358400 is an apocalyptic number.

345226358400 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 345226358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714221682720).

345226358400 is an abundant number, since it is smaller than the sum of its proper divisors (1083217007040).

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

345226358400 is a wasteful number, since it uses less digits than its factorization.

345226358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42513 (or 42485 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 345226358400 in words is "three hundred forty-five billion, two hundred twenty-six million, three hundred fifty-eight thousand, four hundred".