341542306560 has 1152 divisors, whose sum is σ = 1421478051840. Its totient is φ = 67947724800.

The previous prime is 341542306559. The next prime is 341542306561. The reversal of 341542306560 is 65603245143.

It is an interprime number because it is at equal distance from previous prime (341542306559) and next prime (341542306561).

It is a super-2 number, since 2×341542306560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (341542306561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 444137856 + ... + 444138624.

It is an arithmetic number, because the mean of its divisors is an integer number (1233921920).

Almost surely, 2^341542306560 is an apocalyptic number.

341542306560 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 341542306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710739025920).

341542306560 is an abundant number, since it is smaller than the sum of its proper divisors (1079935745280).

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

341542306560 is a wasteful number, since it uses less digits than its factorization.

341542306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 341542306560 in words is "three hundred forty-one billion, five hundred forty-two million, three hundred six thousand, five hundred sixty".