341851117920 has 288 divisors, whose sum is σ = 1167223260672. Its totient is φ = 84062324736.

The previous prime is 341851117903. The next prime is 341851117921. The reversal of 341851117920 is 29711158143.

It is a super-3 number, since 3×341851117920³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341851117921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123544377 + ... + 123547143.

It is an arithmetic number, because the mean of its divisors is an integer number (4052858544).

Almost surely, 2^341851117920 is an apocalyptic number.

341851117920 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 341851117920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583611630336).

341851117920 is an abundant number, since it is smaller than the sum of its proper divisors (825372142752).

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

341851117920 is a wasteful number, since it uses less digits than its factorization.

341851117920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 341851117920 in words is "three hundred forty-one billion, eight hundred fifty-one million, one hundred seventeen thousand, nine hundred twenty".