3965332800 has 672 divisors, whose sum is σ = 15715244160. Its totient is φ = 862617600.

The previous prime is 3965332759. The next prime is 3965332867. The reversal of 3965332800 is 82335693.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36379146 + ... + 36379254.

It is an arithmetic number, because the mean of its divisors is an integer number (23385780).

Almost surely, 2^3965332800 is an apocalyptic number.

3965332800 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 3965332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7857622080).

3965332800 is an abundant number, since it is smaller than the sum of its proper divisors (11749911360).

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

3965332800 is a wasteful number, since it uses less digits than its factorization.

3965332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 3965332800 is about 62970.8885120736. Note that the first 3 decimals coincide. The cubic root of 3965332800 is about 1582.8018436483.

The spelling of 3965332800 in words is "three billion, nine hundred sixty-five million, three hundred thirty-two thousand, eight hundred".