334411632 has 80 divisors (see below), whose sum is σ = 990888960. Its totient is φ = 107870400.

The previous prime is 334411631. The next prime is 334411643. The reversal of 334411632 is 236114433.

It is a super-2 number, since 2×334411632² = 223662279233806848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 334411596 and 334411605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334411631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 907 + ... + 25877.

It is an arithmetic number, because the mean of its divisors is an integer number (12386112).

Almost surely, 2^334411632 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 334411632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495444480).

334411632 is an abundant number, since it is smaller than the sum of its proper divisors (656477328).

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

334411632 is a wasteful number, since it uses less digits than its factorization.

334411632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25019 (or 25007 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 334411632 is about 18286.9251652649. The cubic root of 334411632 is about 694.1081201434.

The spelling of 334411632 in words is "three hundred thirty-four million, four hundred eleven thousand, six hundred thirty-two".