345700920 has 64 divisors (see below), whose sum is σ = 1048788000. Its totient is φ = 91148288.

The previous prime is 345700913. The next prime is 345700921. The reversal of 345700920 is 29007543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345700921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5505 + ... + 26864.

Almost surely, 2^345700920 is an apocalyptic number.

345700920 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 345700920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524394000).

345700920 is an abundant number, since it is smaller than the sum of its proper divisors (703087080).

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

345700920 is a wasteful number, since it uses less digits than its factorization.

345700920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32472 (or 32468 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 345700920 is about 18593.0341794985. The cubic root of 345700920 is about 701.8325588264.

The spelling of 345700920 in words is "three hundred forty-five million, seven hundred thousand, nine hundred twenty".