341845920 has 240 divisors, whose sum is σ = 1299873960. Its totient is φ = 84105216.

The previous prime is 341845873. The next prime is 341845937. The reversal of 341845920 is 29548143.

It can be written as a sum of positive squares in 4 ways, for example, as 309900816 + 31945104 = 17604^2 + 5652^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167466 + ... + 169494.

Almost surely, 2^341845920 is an apocalyptic number.

341845920 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 341845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649936980).

341845920 is an abundant number, since it is smaller than the sum of its proper divisors (958028040).

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

341845920 is a wasteful number, since it uses less digits than its factorization.

341845920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 341845920 is about 18489.0756935007. The cubic root of 341845920 is about 699.2140293952.

It can be divided in two parts, 34184 and 5920, that added together give a palindrome (40104).

The spelling of 341845920 in words is "three hundred forty-one million, eight hundred forty-five thousand, nine hundred twenty".