334452720420 has 432 divisors, whose sum is σ = 1257854113152. Its totient is φ = 70432727040.

The previous prime is 334452720409. The next prime is 334452720457. The reversal of 334452720420 is 24027254433.

334452720420 is a `hidden beast` number, since 3 + 3 + 445 + 2 + 7 + 204 + 2 + 0 = 666.

It is a super-2 number, since 2×334452720420² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 147140404 + ... + 147142676.

It is an arithmetic number, because the mean of its divisors is an integer number (2911699336).

Almost surely, 2^334452720420 is an apocalyptic number.

334452720420 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 334452720420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628927056576).

334452720420 is an abundant number, since it is smaller than the sum of its proper divisors (923401392732).

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

334452720420 is a wasteful number, since it uses less digits than its factorization.

334452720420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

Adding to 334452720420 its reverse (24027254433), we get a palindrome (358479974853).

The spelling of 334452720420 in words is "three hundred thirty-four billion, four hundred fifty-two million, seven hundred twenty thousand, four hundred twenty".