3946887600 has 240 divisors, whose sum is σ = 13002560640. Its totient is φ = 1023027200.

The previous prime is 3946887599. The next prime is 3946887619. The reversal of 3946887600 is 67886493.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7575340 + ... + 7575860.

It is an arithmetic number, because the mean of its divisors is an integer number (54177336).

Almost surely, 2^3946887600 is an apocalyptic number.

3946887600 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 3946887600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501280320).

3946887600 is an abundant number, since it is smaller than the sum of its proper divisors (9055673040).

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

3946887600 is a wasteful number, since it uses less digits than its factorization.

3946887600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 3946887600 is about 62824.2596454586. The cubic root of 3946887600 is about 1580.3438337324.

The spelling of 3946887600 in words is "three billion, nine hundred forty-six million, eight hundred eighty-seven thousand, six hundred".