341874180096 has 288 divisors, whose sum is σ = 973913673600. Its totient is φ = 106300440576.

The previous prime is 341874180071. The next prime is 341874180103. The reversal of 341874180096 is 690081478143.

It is a super-3 number, since 3×341874180096³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1330249600 + ... + 1330249856.

It is an arithmetic number, because the mean of its divisors is an integer number (3381644700).

Almost surely, 2^341874180096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341874180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486956836800).

341874180096 is an abundant number, since it is smaller than the sum of its proper divisors (632039493504).

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

341874180096 is an equidigital number, since it uses as much as digits as its factorization.

341874180096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 341874180096 in words is "three hundred forty-one billion, eight hundred seventy-four million, one hundred eighty thousand, ninety-six".