3973332160 has 112 divisors (see below), whose sum is σ = 10899062784. Its totient is φ = 1351461888.

The previous prime is 3973332149. The next prime is 3973332161. The reversal of 3973332160 is 612333793.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (3973332161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277497 + ... + 291463.

Almost surely, 2^3973332160 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 3973332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449531392).

3973332160 is an abundant number, since it is smaller than the sum of its proper divisors (6925730624).

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

3973332160 is a wasteful number, since it uses less digits than its factorization.

3973332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14118 (or 14108 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 37.

The square root of 3973332160 is about 63034.3728452977. The cubic root of 3973332160 is about 1583.8654699881.

The spelling of 3973332160 in words is "three billion, nine hundred seventy-three million, three hundred thirty-two thousand, one hundred sixty".