3971605680 has 360 divisors, whose sum is σ = 15804009312. Its totient is φ = 875556864.

The previous prime is 3971605679. The next prime is 3971605697. The reversal of 3971605680 is 865061793.

It is a happy number.

3971605680 is a `hidden beast` number, since 39 + 7 + 1 + 605 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4238172 + ... + 4239108.

Almost surely, 2^3971605680 is an apocalyptic number.

3971605680 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 3971605680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7902004656).

3971605680 is an abundant number, since it is smaller than the sum of its proper divisors (11832403632).

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

3971605680 is a wasteful number, since it uses less digits than its factorization.

3971605680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3971605680 is about 63020.6766069677. The cubic root of 3971605680 is about 1583.6360313116.

The spelling of 3971605680 in words is "three billion, nine hundred seventy-one million, six hundred five thousand, six hundred eighty".