345870720 has 384 divisors, whose sum is σ = 1336608000. Its totient is φ = 81838080.

The previous prime is 345870713. The next prime is 345870743. The reversal of 345870720 is 27078543.

345870720 is a `hidden beast` number, since 3 + 4 + 587 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2321206 + ... + 2321354.

It is an arithmetic number, because the mean of its divisors is an integer number (3480750).

Almost surely, 2^345870720 is an apocalyptic number.

345870720 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 345870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668304000).

345870720 is an abundant number, since it is smaller than the sum of its proper divisors (990737280).

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

345870720 is a wasteful number, since it uses less digits than its factorization.

345870720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 345870720 is about 18597.5998451413. The cubic root of 345870720 is about 701.9474477912.

The spelling of 345870720 in words is "three hundred forty-five million, eight hundred seventy thousand, seven hundred twenty".