3325432320 has 800 divisors, whose sum is σ = 14259801600. Its totient is φ = 724598784.

The previous prime is 3325432309. The next prime is 3325432337. The reversal of 3325432320 is 232345233.

3325432320 is a `hidden beast` number, since 332 + 5 + 4 + 3 + 2 + 320 = 666.

It is a super-2 number, since 2×3325432320² = 22117000229801164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42094041 + ... + 42094119.

It is an arithmetic number, because the mean of its divisors is an integer number (17824752).

Almost surely, 2^3325432320 is an apocalyptic number.

3325432320 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 3325432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129900800).

3325432320 is an abundant number, since it is smaller than the sum of its proper divisors (10934369280).

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

3325432320 is an equidigital number, since it uses as much as digits as its factorization.

3325432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 3325432320 is about 57666.5615413300. The cubic root of 3325432320 is about 1492.6203938132.

Adding to 3325432320 its reverse (232345233), we get a palindrome (3557777553).

The spelling of 3325432320 in words is "three billion, three hundred twenty-five million, four hundred thirty-two thousand, three hundred twenty".