3325465200 has 360 divisors, whose sum is σ = 11631144448. Its totient is φ = 811560960.

The previous prime is 3325465193. The next prime is 3325465207. The reversal of 3325465200 is 25645233.

It is an interprime number because it is at equal distance from previous prime (3325465193) and next prime (3325465207).

It is a super-2 number, since 2×3325465200² = 22117437592822080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3325465207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14912289 + ... + 14912511.

Almost surely, 2^3325465200 is an apocalyptic number.

3325465200 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 3325465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5815572224).

3325465200 is an abundant number, since it is smaller than the sum of its proper divisors (8305679248).

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

3325465200 is a wasteful number, since it uses less digits than its factorization.

3325465200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 3325465200 is about 57666.8466278502. The cubic root of 3325465200 is about 1492.6253131933.

The spelling of 3325465200 in words is "three billion, three hundred twenty-five million, four hundred sixty-five thousand, two hundred".