341408837520 has 560 divisors, whose sum is σ = 1213079166000. Its totient is φ = 89305804800.

The previous prime is 341408837519. The next prime is 341408837557. The reversal of 341408837520 is 25738804143.

341408837520 is a `hidden beast` number, since 3 + 4 + 1 + 40 + 8 + 83 + 7 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6181733376 + 335227104144 = 78624^2 + 578988^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 877657486 + ... + 877657874.

Almost surely, 2^341408837520 is an apocalyptic number.

341408837520 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 341408837520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606539583000).

341408837520 is an abundant number, since it is smaller than the sum of its proper divisors (871670328480).

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

341408837520 is a wasteful number, since it uses less digits than its factorization.

341408837520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 341408837520 in words is "three hundred forty-one billion, four hundred eight million, eight hundred thirty-seven thousand, five hundred twenty".