345420390 has 128 divisors (see below), whose sum is σ = 982056960. Its totient is φ = 76123008.

The previous prime is 345420389. The next prime is 345420401. The reversal of 345420390 is 93024543.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 779509 + ... + 779951.

It is an arithmetic number, because the mean of its divisors is an integer number (7672320).

Almost surely, 2^345420390 is an apocalyptic number.

345420390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345420390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491028480).

345420390 is an abundant number, since it is smaller than the sum of its proper divisors (636636570).

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

345420390 is a wasteful number, since it uses less digits than its factorization.

345420390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 345420390 is about 18585.4886941398. The cubic root of 345420390 is about 701.6426660062.

The spelling of 345420390 in words is "three hundred forty-five million, four hundred twenty thousand, three hundred ninety".