334272011839920 has 640 divisors, whose sum is σ = 1435765079439360. Its totient is φ = 69445734912000.

The previous prime is 334272011839873. The next prime is 334272011839921. The reversal of 334272011839920 is 29938110272433.

334272011839920 is a `hidden beast` number, since 3 + 3 + 4 + 27 + 201 + 1 + 8 + 399 + 20 = 666.

It is a super-2 number, since 2×334272011839920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (334272011839921) 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, 874818510 + ... + 875200530.

It is an arithmetic number, because the mean of its divisors is an integer number (2243382936624).

Almost surely, 2^{334272011839920} is an apocalyptic number.

334272011839920 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 334272011839920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717882539719680).

334272011839920 is an abundant number, since it is smaller than the sum of its proper divisors (1101493067599440).

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

334272011839920 is a wasteful number, since it uses less digits than its factorization.

334272011839920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387322 (or 387310 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 334272011839920 in words is "three hundred thirty-four trillion, two hundred seventy-two billion, eleven million, eight hundred thirty-nine thousand, nine hundred twenty".