3973200 has 240 divisors, whose sum is σ = 16237056. Its totient is φ = 806400.

The previous prime is 3973183. The next prime is 3973213. The reversal of 3973200 is 23793.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 92379 + ... + 92421.

Almost surely, 2^3973200 is an apocalyptic number.

3973200 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 3973200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8118528).

3973200 is an abundant number, since it is smaller than the sum of its proper divisors (12263856).

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

3973200 is a wasteful number, since it uses less digits than its factorization.

3973200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 3973200 is about 1993.2887397465. The cubic root of 3973200 is about 158.3847909078.

Adding to 3973200 its reverse (23793), we get a palindrome (3996993).

The spelling of 3973200 in words is "three million, nine hundred seventy-three thousand, two hundred".