3283419168 has 216 divisors, whose sum is σ = 10041228288. Its totient is φ = 1017427968.

The previous prime is 3283419149. The next prime is 3283419173. The reversal of 3283419168 is 8619143823.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8572705 + ... + 8573087.

It is an arithmetic number, because the mean of its divisors is an integer number (46487168).

Almost surely, 2^3283419168 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 3283419168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020614144).

3283419168 is an abundant number, since it is smaller than the sum of its proper divisors (6757809120).

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

3283419168 is a wasteful number, since it uses less digits than its factorization.

3283419168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 508 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3283419168 is about 57301.1271093335. The cubic root of 3283419168 is about 1486.3078666075.

The spelling of 3283419168 in words is "three billion, two hundred eighty-three million, four hundred nineteen thousand, one hundred sixty-eight".