3325669200 has 540 divisors, whose sum is σ = 14227777980. Its totient is φ = 714792960.

The previous prime is 3325669189. The next prime is 3325669219. The reversal of 3325669200 is 29665233.

3325669200 is a `hidden beast` number, since 3 + 3 + 2 + 566 + 92 + 0 + 0 = 666.

3325669200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 335329344 + 2990339856 = 18312^2 + 54684^2 .

It is a super-2 number, since 2×3325669200² = 22120151255657280000, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2998246 + ... + 2999354.

It is an arithmetic number, because the mean of its divisors is an integer number (26347737).

Almost surely, 2^3325669200 is an apocalyptic number.

3325669200 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 3325669200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113888990).

3325669200 is an abundant number, since it is smaller than the sum of its proper divisors (10902108780).

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

3325669200 is a wasteful number, since it uses less digits than its factorization.

3325669200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3325669200 is about 57668.6153813320. The cubic root of 3325669200 is about 1492.6558341700.

The spelling of 3325669200 in words is "three billion, three hundred twenty-five million, six hundred sixty-nine thousand, two hundred".