345815400 has 192 divisors, whose sum is σ = 1236170880. Its totient is φ = 78336000.

The previous prime is 345815389. The next prime is 345815429. The reversal of 345815400 is 4518543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575100 + ... + 575700.

It is an arithmetic number, because the mean of its divisors is an integer number (6438390).

Almost surely, 2^345815400 is an apocalyptic number.

345815400 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 345815400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618085440).

345815400 is an abundant number, since it is smaller than the sum of its proper divisors (890355480).

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

345815400 is a wasteful number, since it uses less digits than its factorization.

345815400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 345815400 is about 18596.1124969710. The cubic root of 345815400 is about 701.9100216654.

The spelling of 345815400 in words is "three hundred forty-five million, eight hundred fifteen thousand, four hundred".