3952378800 has 300 divisors, whose sum is σ = 14279306800. Its totient is φ = 1046960640.

The previous prime is 3952378777. The next prime is 3952378867. The reversal of 3952378800 is 88732593.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6447294 + ... + 6447906.

Almost surely, 2^3952378800 is an apocalyptic number.

3952378800 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 3952378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7139653400).

3952378800 is an abundant number, since it is smaller than the sum of its proper divisors (10326928000).

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

3952378800 is a wasteful number, since it uses less digits than its factorization.

3952378800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3952378800 is about 62867.9473181684. The cubic root of 3952378800 is about 1581.0763909238.

The spelling of 3952378800 in words is "three billion, nine hundred fifty-two million, three hundred seventy-eight thousand, eight hundred".