341445629952 has 432 divisors, whose sum is σ = 1197364175280. Its totient is φ = 91807285248.

The previous prime is 341445629947. The next prime is 341445629957. The reversal of 341445629952 is 259926544143.

341445629952 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 4 + 5 + 629 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (341445629947) and next prime (341445629957).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341445629957) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37283358 + ... + 37292514.

Almost surely, 2^341445629952 is an apocalyptic number.

341445629952 is a gapful number since it is divisible by the number (32) 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 341445629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598682087640).

341445629952 is an abundant number, since it is smaller than the sum of its proper divisors (855918545328).

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

341445629952 is a wasteful number, since it uses less digits than its factorization.

341445629952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9226 (or 9186 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 341445629952 in words is "three hundred forty-one billion, four hundred forty-five million, six hundred twenty-nine thousand, nine hundred fifty-two".