341484433920 has 600 divisors, whose sum is σ = 1379907484956. Its totient is φ = 78040940544.

The previous prime is 341484433889. The next prime is 341484433921. The reversal of 341484433920 is 29334484143.

341484433920 is a `hidden beast` number, since 3 + 41 + 484 + 43 + 3 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 285053481216 + 56430952704 = 533904^2 + 237552^2 .

It is a super-2 number, since 2×341484433920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (341484433921) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 55315954 + ... + 55322126.

Almost surely, 2^341484433920 is an apocalyptic number.

341484433920 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 341484433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689953742478).

341484433920 is an abundant number, since it is smaller than the sum of its proper divisors (1038423051036).

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

341484433920 is an frugal number, since it uses more digits than its factorization.

341484433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6230 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 341484433920 in words is "three hundred forty-one billion, four hundred eighty-four million, four hundred thirty-three thousand, nine hundred twenty".