341437412736 has 960 divisors, whose sum is σ = 1236803958000. Its totient is φ = 90128941056.

The previous prime is 341437412731. The next prime is 341437412737. The reversal of 341437412736 is 637214734143.

341437412736 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 374 + 1 + 273 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 341437412691 and 341437412700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341437412731) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3836375380 + ... + 3836375468.

Almost surely, 2^341437412736 is an apocalyptic number.

341437412736 is a gapful number since it is divisible by the number (36) 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 341437412736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618401979000).

341437412736 is an abundant number, since it is smaller than the sum of its proper divisors (895366545264).

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

341437412736 is an equidigital number, since it uses as much as digits as its factorization.

341437412736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 193 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The spelling of 341437412736 in words is "three hundred forty-one billion, four hundred thirty-seven million, four hundred twelve thousand, seven hundred thirty-six".