3997669248 has 256 divisors, whose sum is σ = 12260808000. Its totient is φ = 1281392640.

The previous prime is 3997669243. The next prime is 3997669267. The reversal of 3997669248 is 8429667993.

3997669248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3997669241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12610786 + ... + 12611102.

Almost surely, 2^3997669248 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 3997669248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130404000).

3997669248 is an abundant number, since it is smaller than the sum of its proper divisors (8263138752).

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

3997669248 is a wasteful number, since it uses less digits than its factorization.

3997669248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 452 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The square root of 3997669248 is about 63227.1243059496. The cubic root of 3997669248 is about 1587.0926722160.

The spelling of 3997669248 in words is "three billion, nine hundred ninety-seven million, six hundred sixty-nine thousand, two hundred forty-eight".