3966187680 has 1152 divisors, whose sum is σ = 18492364800. Its totient is φ = 779341824.

The previous prime is 3966187651. The next prime is 3966187727. The reversal of 3966187680 is 867816693.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67223491 + ... + 67223549.

It is an arithmetic number, because the mean of its divisors is an integer number (16052400).

Almost surely, 2^3966187680 is an apocalyptic number.

3966187680 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 3966187680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9246182400).

3966187680 is an abundant number, since it is smaller than the sum of its proper divisors (14526177120).

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

3966187680 is a wasteful number, since it uses less digits than its factorization.

3966187680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3966187680 is about 62977.6760447700. The cubic root of 3966187680 is about 1582.9155800803.

The spelling of 3966187680 in words is "three billion, nine hundred sixty-six million, one hundred eighty-seven thousand, six hundred eighty".