3289289472 has 720 divisors, whose sum is σ = 12536358912. Its totient is φ = 836075520.

The previous prime is 3289289453. The next prime is 3289289477. The reversal of 3289289472 is 2749829823.

It is a happy number.

3289289472 is a `hidden beast` number, since 3 + 2 + 8 + 92 + 89 + 472 = 666.

It is a super-2 number, since 2×3289289472² = 21638850461220077568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (3483648) is a multiple of the sum of its prime factors (126).

It is not an unprimeable number, because it can be changed into a prime (3289289477) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76495083 + ... + 76495125.

Almost surely, 2^3289289472 is an apocalyptic number.

3289289472 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 3289289472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6268179456).

3289289472 is an abundant number, since it is smaller than the sum of its proper divisors (9247069440).

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

3289289472 is a wasteful number, since it uses less digits than its factorization.

3289289472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 3289289472 is about 57352.3275203370. The cubic root of 3289289472 is about 1487.1931109191.

The spelling of 3289289472 in words is "three billion, two hundred eighty-nine million, two hundred eighty-nine thousand, four hundred seventy-two".