3368632320 has 240 divisors, whose sum is σ = 11984857920. Its totient is φ = 897712128.

The previous prime is 3368632313. The next prime is 3368632327. The reversal of 3368632320 is 232368633.

3368632320 is a `hidden beast` number, since 3 + 368 + 63 + 232 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3368632313) and next prime (3368632327).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3368632320² = 22695367414697164800, which 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 (3368632327) 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, 2211079 + ... + 2212601.

It is an arithmetic number, because the mean of its divisors is an integer number (49936908).

Almost surely, 2^3368632320 is an apocalyptic number.

3368632320 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 3368632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992428960).

3368632320 is an abundant number, since it is smaller than the sum of its proper divisors (8616225600).

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

3368632320 is an equidigital number, since it uses as much as digits as its factorization.

3368632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3368632320 is about 58039.9200550793. The cubic root of 3368632320 is about 1499.0560460920.

The spelling of 3368632320 in words is "three billion, three hundred sixty-eight million, six hundred thirty-two thousand, three hundred twenty".