3252110400 has 756 divisors, whose sum is σ = 14703277680. Its totient is φ = 674150400.

The previous prime is 3252110383. The next prime is 3252110423. The reversal of 3252110400 is 40112523.

3252110400 is a `hidden beast` number, since 3 + 252 + 1 + 10 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 7761391 + ... + 7761809.

It is an arithmetic number, because the mean of its divisors is an integer number (19448780).

Almost surely, 2^3252110400 is an apocalyptic number.

3252110400 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 3252110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351638840).

3252110400 is an abundant number, since it is smaller than the sum of its proper divisors (11451167280).

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

3252110400 is a wasteful number, since it uses less digits than its factorization.

3252110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3252110400 is about 57027.2776835788. The cubic root of 3252110400 is about 1481.5685828666.

Adding to 3252110400 its reverse (40112523), we get a palindrome (3292222923).

The spelling of 3252110400 in words is "three billion, two hundred fifty-two million, one hundred ten thousand, four hundred".