345983400 has 384 divisors, whose sum is σ = 1390982400. Its totient is φ = 78382080.

The previous prime is 345983389. The next prime is 345983401. The reversal of 345983400 is 4389543.

345983400 is a `hidden beast` number, since 34 + 598 + 34 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (345983401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3061744 + ... + 3061856.

It is an arithmetic number, because the mean of its divisors is an integer number (3622350).

Almost surely, 2^345983400 is an apocalyptic number.

345983400 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 345983400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695491200).

345983400 is an abundant number, since it is smaller than the sum of its proper divisors (1044999000).

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

345983400 is a wasteful number, since it uses less digits than its factorization.

345983400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 345983400 is about 18600.6290216218. The cubic root of 345983400 is about 702.0236678411.

The spelling of 345983400 in words is "three hundred forty-five million, nine hundred eighty-three thousand, four hundred".