3252981600 has 288 divisors, whose sum is σ = 12835428480. Its totient is φ = 788544000.

The previous prime is 3252981593. The next prime is 3252981617. The reversal of 3252981600 is 61892523.

3252981600 is a `hidden beast` number, since 3 + 25 + 29 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 230755 + ... + 244445.

It is an arithmetic number, because the mean of its divisors is an integer number (44567460).

Almost surely, 2^3252981600 is an apocalyptic number.

3252981600 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 3252981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6417714240).

3252981600 is an abundant number, since it is smaller than the sum of its proper divisors (9582446880).

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

3252981600 is a wasteful number, since it uses less digits than its factorization.

3252981600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13731 (or 13712 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3252981600 is about 57034.9156219241. The cubic root of 3252981600 is about 1481.7008689977.

The spelling of 3252981600 in words is "three billion, two hundred fifty-two million, nine hundred eighty-one thousand, six hundred".