345610720 has 144 divisors (see below), whose sum is σ = 1023176448. Its totient is φ = 109347840.

The previous prime is 345610717. The next prime is 345610729. The reversal of 345610720 is 27016543.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345610729) 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 23 ways as a sum of consecutive naturals, for example, 100225 + ... + 103615.

It is an arithmetic number, because the mean of its divisors is an integer number (7105392).

Almost surely, 2^345610720 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 345610720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511588224).

345610720 is an abundant number, since it is smaller than the sum of its proper divisors (677565728).

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

345610720 is a wasteful number, since it uses less digits than its factorization.

345610720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 345610720 is about 18590.6083816534. The cubic root of 345610720 is about 701.7715129919.

It can be divided in two parts, 345 and 610720, that added together give a triangular number (611065 = T₁₁₀₅).

The spelling of 345610720 in words is "three hundred forty-five million, six hundred ten thousand, seven hundred twenty".