345486600 has 192 divisors, whose sum is σ = 1201262400. Its totient is φ = 91261440.

The previous prime is 345486593. The next prime is 345486601. The reversal of 345486600 is 6684543.

345486600 is a `hidden beast` number, since 3 + 4 + 5 + 48 + 6 + 600 = 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 (345486601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739567 + ... + 740033.

It is an arithmetic number, because the mean of its divisors is an integer number (6256575).

Almost surely, 2^345486600 is an apocalyptic number.

345486600 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 345486600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600631200).

345486600 is an abundant number, since it is smaller than the sum of its proper divisors (855775800).

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

345486600 is a wasteful number, since it uses less digits than its factorization.

345486600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 345486600 is about 18587.2698371762. The cubic root of 345486600 is about 701.6874933088.

The spelling of 345486600 in words is "three hundred forty-five million, four hundred eighty-six thousand, six hundred".