3290182272 has 384 divisors, whose sum is σ = 11108697600. Its totient is φ = 925655040.

The previous prime is 3290182271. The next prime is 3290182277. The reversal of 3290182272 is 2722810923.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3290182271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8820678 + ... + 8821050.

It is an arithmetic number, because the mean of its divisors is an integer number (28928900).

Almost surely, 2^3290182272 is an apocalyptic number.

3290182272 is a gapful number since it is divisible by the number (32) 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 3290182272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5554348800).

3290182272 is an abundant number, since it is smaller than the sum of its proper divisors (7818515328).

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

3290182272 is a wasteful number, since it uses less digits than its factorization.

3290182272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3290182272 is about 57360.1104601447. The cubic root of 3290182272 is about 1487.3276532378.

The spelling of 3290182272 in words is "three billion, two hundred ninety million, one hundred eighty-two thousand, two hundred seventy-two".