3997662336 has 320 divisors, whose sum is σ = 12958359480. Its totient is φ = 1218281472.

The previous prime is 3997662307. The next prime is 3997662341. The reversal of 3997662336 is 6332667993.

3997662336 is a `hidden beast` number, since 3 + 9 + 9 + 7 + 6 + 623 + 3 + 6 = 666.

3997662336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3443342400 + 554319936 = 58680^2 + 23544^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6521166 + ... + 6521778.

Almost surely, 2^3997662336 is an apocalyptic number.

3997662336 is a gapful number since it is divisible by the number (36) 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 3997662336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479179740).

3997662336 is an abundant number, since it is smaller than the sum of its proper divisors (8960697144).

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

3997662336 is a wasteful number, since it uses less digits than its factorization.

3997662336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 672 counting only the distinct ones).

The product of its digits is 6613488, while the sum is 54.

The square root of 3997662336 is about 63227.0696458408. The cubic root of 3997662336 is about 1587.0917575171.

The spelling of 3997662336 in words is "three billion, nine hundred ninety-seven million, six hundred sixty-two thousand, three hundred thirty-six".