3961973200 has 60 divisors (see below), whose sum is σ = 9532166688. Its totient is φ = 1582537600.

The previous prime is 3961973159. The next prime is 3961973201. The reversal of 3961973200 is 23791693.

3961973200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3961973201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 290535 + ... + 303865.

Almost surely, 2^3961973200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3961973200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4766083344).

3961973200 is an abundant number, since it is smaller than the sum of its proper divisors (5570193488).

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

3961973200 is a wasteful number, since it uses less digits than its factorization.

3961973200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14092 (or 14081 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 40.

The square root of 3961973200 is about 62944.2070408390. The cubic root of 3961973200 is about 1582.3547114814.

The spelling of 3961973200 in words is "three billion, nine hundred sixty-one million, nine hundred seventy-three thousand, two hundred".