345049600 has 120 divisors (see below), whose sum is σ = 977267808. Its totient is φ = 118272000.

The previous prime is 345049597. The next prime is 345049603. The reversal of 345049600 is 6940543.

It is an interprime number because it is at equal distance from previous prime (345049597) and next prime (345049603).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (345049603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87675 + ... + 91525.

Almost surely, 2^345049600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488633904).

345049600 is an abundant number, since it is smaller than the sum of its proper divisors (632218208).

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

345049600 is an equidigital number, since it uses as much as digits as its factorization.

345049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 345049600 is about 18575.5107601379. The cubic root of 345049600 is about 701.3915177077.

The spelling of 345049600 in words is "three hundred forty-five million, forty-nine thousand, six hundred".