3973484160 has 160 divisors (see below), whose sum is σ = 14190214500. Its totient is φ = 1059581952.

The previous prime is 3973484107. The next prime is 3973484183. The reversal of 3973484160 is 614843793.

3973484160 is a `hidden beast` number, since 3 + 9 + 7 + 3 + 484 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3807383616 + 166100544 = 61704^2 + 12888^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13516 + ... + 90164.

Almost surely, 2^3973484160 is an apocalyptic number.

3973484160 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 3973484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095107250).

3973484160 is an abundant number, since it is smaller than the sum of its proper divisors (10216730340).

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

3973484160 is an equidigital number, since it uses as much as digits as its factorization.

3973484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76680 (or 76659 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3973484160 is about 63035.5785251472. The cubic root of 3973484160 is about 1583.8856666787.

The spelling of 3973484160 in words is "three billion, nine hundred seventy-three million, four hundred eighty-four thousand, one hundred sixty".