3961179360 has 144 divisors (see below), whose sum is σ = 13719612816. Its totient is φ = 1040523264.

The previous prime is 3961179331. The next prime is 3961179361. The reversal of 3961179360 is 639711693.

3961179360 is a `hidden beast` number, since 396 + 117 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3961179361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75952 + ... + 117008.

It is an arithmetic number, because the mean of its divisors is an integer number (95275089).

Almost surely, 2^3961179360 is an apocalyptic number.

3961179360 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 3961179360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6859806408).

3961179360 is an abundant number, since it is smaller than the sum of its proper divisors (9758433456).

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

3961179360 is a wasteful number, since it uses less digits than its factorization.

3961179360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41145 (or 41134 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 3961179360 is about 62937.9008229540. The cubic root of 3961179360 is about 1582.2490216895.

The spelling of 3961179360 in words is "three billion, nine hundred sixty-one million, one hundred seventy-nine thousand, three hundred sixty".