345518573400 has 2160 divisors, whose sum is σ = 1643320602000. Its totient is φ = 65828505600.

The previous prime is 345518573339. The next prime is 345518573437. The reversal of 345518573400 is 4375815543.

It is a happy number.

345518573400 is a `hidden beast` number, since 3 + 4 + 551 + 8 + 57 + 3 + 40 + 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 539 ways as a sum of consecutive naturals, for example, 2318916526 + ... + 2318916674.

It is an arithmetic number, because the mean of its divisors is an integer number (760796575).

Almost surely, 2^345518573400 is an apocalyptic number.

345518573400 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 345518573400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821660301000).

345518573400 is an abundant number, since it is smaller than the sum of its proper divisors (1297802028600).

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

345518573400 is a wasteful number, since it uses less digits than its factorization.

345518573400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 345518573400 in words is "three hundred forty-five billion, five hundred eighteen million, five hundred seventy-three thousand, four hundred".