334731220920 has 768 divisors, whose sum is σ = 1224018432000. Its totient is φ = 78979276800.

The previous prime is 334731220919. The next prime is 334731220921. The reversal of 334731220920 is 29022137433.

334731220920 is a `hidden beast` number, since 3 + 347 + 3 + 1 + 220 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (334731220919) and next prime (334731220921).

It is a super-2 number, since 2×334731220920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334731220921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1208415822 + ... + 1208416098.

It is an arithmetic number, because the mean of its divisors is an integer number (1593774000).

Almost surely, 2^334731220920 is an apocalyptic number.

334731220920 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 334731220920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612009216000).

334731220920 is an abundant number, since it is smaller than the sum of its proper divisors (889287211080).

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

334731220920 is a wasteful number, since it uses less digits than its factorization.

334731220920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 334731220920 in words is "three hundred thirty-four billion, seven hundred thirty-one million, two hundred twenty thousand, nine hundred twenty".