3901132800 has 624 divisors, whose sum is σ = 15357142080. Its totient is φ = 967311360.

The previous prime is 3901132799. The next prime is 3901132813. The reversal of 3901132800 is 82311093.

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

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, 47001559 + ... + 47001641.

Almost surely, 2^3901132800 is an apocalyptic number.

3901132800 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 3901132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7678571040).

3901132800 is an abundant number, since it is smaller than the sum of its proper divisors (11456009280).

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

3901132800 is a wasteful number, since it uses less digits than its factorization.

3901132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3901132800 is about 62459.0489841144. The cubic root of 3901132800 is about 1574.2133032634.

Adding to 3901132800 its reverse (82311093), we get a palindrome (3983443893).

The spelling of 3901132800 in words is "three billion, nine hundred one million, one hundred thirty-two thousand, eight hundred".