345399035400 has 288 divisors, whose sum is σ = 1222267082400. Its totient is φ = 87169305600.

The previous prime is 345399035393. The next prime is 345399035417. The reversal of 345399035400 is 4530993543.

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

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, 37307572 + ... + 37316828.

It is an arithmetic number, because the mean of its divisors is an integer number (4243982925).

Almost surely, 2^345399035400 is an apocalyptic number.

345399035400 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 345399035400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611133541200).

345399035400 is an abundant number, since it is smaller than the sum of its proper divisors (876868047000).

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

345399035400 is a wasteful number, since it uses less digits than its factorization.

345399035400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10389 (or 10377 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 345399035400 in words is "three hundred forty-five billion, three hundred ninety-nine million, thirty-five thousand, four hundred".