341991097920 has 280 divisors, whose sum is σ = 1258474318200. Its totient is φ = 88052686848.

The previous prime is 341991097897. The next prime is 341991097927. The reversal of 341991097920 is 29790199143.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 53183739456 + 288807358464 = 230616^2 + 537408^2 .

It is a super-2 number, since 2×341991097920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (341991097927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 524196 + ... + 979164.

Almost surely, 2^341991097920 is an apocalyptic number.

341991097920 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 341991097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629237159100).

341991097920 is an abundant number, since it is smaller than the sum of its proper divisors (916483220280).

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

341991097920 is a wasteful number, since it uses less digits than its factorization.

341991097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455027 (or 455008 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 341991097920 in words is "three hundred forty-one billion, nine hundred ninety-one million, ninety-seven thousand, nine hundred twenty".