3942172800 has 480 divisors, whose sum is σ = 14829653520. Its totient is φ = 1030993920.

The previous prime is 3942172783. The next prime is 3942172841. The reversal of 3942172800 is 82712493.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 17366287 + ... + 17366513.

Almost surely, 2^3942172800 is an apocalyptic number.

3942172800 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 3942172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7414826760).

3942172800 is an abundant number, since it is smaller than the sum of its proper divisors (10887480720).

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

3942172800 is a wasteful number, since it uses less digits than its factorization.

3942172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3942172800 is about 62786.7247115184. The cubic root of 3942172800 is about 1579.7143103604.

The spelling of 3942172800 in words is "three billion, nine hundred forty-two million, one hundred seventy-two thousand, eight hundred".