3947776000 has 192 divisors, whose sum is σ = 11263674240. Its totient is φ = 1352908800.

The previous prime is 3947775983. The next prime is 3947776043. The reversal of 3947776000 is 6777493.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1790899 + ... + 1793101.

It is an arithmetic number, because the mean of its divisors is an integer number (58664970).

Almost surely, 2^3947776000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3947776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5631837120).

3947776000 is an abundant number, since it is smaller than the sum of its proper divisors (7315898240).

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

3947776000 is an equidigital number, since it uses as much as digits as its factorization.

3947776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 43.

The square root of 3947776000 is about 62831.3297646962. The cubic root of 3947776000 is about 1580.4623973769.

The spelling of 3947776000 in words is "three billion, nine hundred forty-seven million, seven hundred seventy-six thousand".