345816000 has 224 divisors, whose sum is σ = 1269552960. Its totient is φ = 92160000.

The previous prime is 345815999. The next prime is 345816041. The reversal of 345816000 is 618543.

345816000 is a `hidden beast` number, since 3 + 4 + 58 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215200 + ... + 216800.

Almost surely, 2^345816000 is an apocalyptic number.

345816000 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 345816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634776480).

345816000 is an abundant number, since it is smaller than the sum of its proper divisors (923736960).

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

345816000 is a wasteful number, since it uses less digits than its factorization.

345816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 345816000 is about 18596.1286293680. The cubic root of 345816000 is about 701.9104276101.

The spelling of 345816000 in words is "three hundred forty-five million, eight hundred sixteen thousand".