3973939200 has 864 divisors, whose sum is σ = 18064853820. Its totient is φ = 825753600.

The previous prime is 3973939199. The next prime is 3973939283. The reversal of 3973939200 is 29393793.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 361267195 + ... + 361267205.

Almost surely, 2^3973939200 is an apocalyptic number.

3973939200 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 3973939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9032426910).

3973939200 is an abundant number, since it is smaller than the sum of its proper divisors (14090914620).

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

3973939200 is a wasteful number, since it uses less digits than its factorization.

3973939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 275562, while the sum is 45.

The square root of 3973939200 is about 63039.1878120269. The cubic root of 3973939200 is about 1583.9461261138.

The spelling of 3973939200 in words is "three billion, nine hundred seventy-three million, nine hundred thirty-nine thousand, two hundred".