345115898400 has 1440 divisors, whose sum is σ = 1499839504128. Its totient is φ = 68279500800.

The previous prime is 345115898377. The next prime is 345115898423. The reversal of 345115898400 is 4898511543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (345115898377) and next prime (345115898423).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 345115898400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1273490265 + ... + 1273490535.

Almost surely, 2^345115898400 is an apocalyptic number.

345115898400 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 345115898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749919752064).

345115898400 is an abundant number, since it is smaller than the sum of its proper divisors (1154723605728).

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

345115898400 is a wasteful number, since it uses less digits than its factorization.

345115898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 345115898400 in words is "three hundred forty-five billion, one hundred fifteen million, eight hundred ninety-eight thousand, four hundred".