3947199120 has 320 divisors, whose sum is σ = 14141952000. Its totient is φ = 1011193344.

The previous prime is 3947199103. The next prime is 3947199131. The reversal of 3947199120 is 219917493.

3947199120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5989351 + ... + 5990009.

It is an arithmetic number, because the mean of its divisors is an integer number (44193600).

Almost surely, 2^3947199120 is an apocalyptic number.

3947199120 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 3947199120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070976000).

3947199120 is an abundant number, since it is smaller than the sum of its proper divisors (10194752880).

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

3947199120 is a wasteful number, since it uses less digits than its factorization.

3947199120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 3947199120 is about 62826.7388935635. The cubic root of 3947199120 is about 1580.3854104387.

The spelling of 3947199120 in words is "three billion, nine hundred forty-seven million, one hundred ninety-nine thousand, one hundred twenty".