3252009600 has 768 divisors, whose sum is σ = 14368128000. Its totient is φ = 701706240.

The previous prime is 3252009599. The next prime is 3252009601. The reversal of 3252009600 is 69002523.

3252009600 is a `hidden beast` number, since 3 + 2 + 52 + 0 + 0 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (3252009599) and next prime (3252009601).

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

It is not an unprimeable number, because it can be changed into a prime (3252009601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11491059 + ... + 11491341.

It is an arithmetic number, because the mean of its divisors is an integer number (18708500).

Almost surely, 2^3252009600 is an apocalyptic number.

3252009600 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 3252009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7184064000).

3252009600 is an abundant number, since it is smaller than the sum of its proper divisors (11116118400).

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

3252009600 is a wasteful number, since it uses less digits than its factorization.

3252009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3252009600 is about 57026.3938891458. The cubic root of 3252009600 is about 1481.5532755084.

The spelling of 3252009600 in words is "three billion, two hundred fifty-two million, nine thousand, six hundred".