3966674688 has 432 divisors, whose sum is σ = 12924620800. Its totient is φ = 1164533760.

The previous prime is 3966674687. The next prime is 3966674771. The reversal of 3966674688 is 8864766693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966674687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50211033 + ... + 50211111.

Almost surely, 2^3966674688 is an apocalyptic number.

3966674688 is a gapful number since it is divisible by the number (38) 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 3966674688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462310400).

3966674688 is an abundant number, since it is smaller than the sum of its proper divisors (8957946112).

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

3966674688 is a wasteful number, since it uses less digits than its factorization.

3966674688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The square root of 3966674688 is about 62981.5424390353. The cubic root of 3966674688 is about 1582.9803661388.

The spelling of 3966674688 in words is "three billion, nine hundred sixty-six million, six hundred seventy-four thousand, six hundred eighty-eight".