3283623168 has 576 divisors, whose sum is σ = 11679252480. Its totient is φ = 796262400.

The previous prime is 3283623163. The next prime is 3283623173. The reversal of 3283623168 is 8613263823.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3283623163) and next prime (3283623173).

It is a super-2 number, since 2×3283623168² = 21564362218852712448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3283623163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53829858 + ... + 53829918.

It is an arithmetic number, because the mean of its divisors is an integer number (20276480).

Almost surely, 2^3283623168 is an apocalyptic number.

3283623168 is a gapful number since it is divisible by the number (38) 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 3283623168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5839626240).

3283623168 is an abundant number, since it is smaller than the sum of its proper divisors (8395629312).

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

3283623168 is a wasteful number, since it uses less digits than its factorization.

3283623168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 3283623168 is about 57302.9071513828. The cubic root of 3283623168 is about 1486.3386475820.

The spelling of 3283623168 in words is "three billion, two hundred eighty-three million, six hundred twenty-three thousand, one hundred sixty-eight".