3997679616 has 240 divisors, whose sum is σ = 13547188480. Its totient is φ = 1141309440.

The previous prime is 3997679597. The next prime is 3997679641. The reversal of 3997679616 is 6169767993.

3997679616 is a `hidden beast` number, since 3 + 9 + 9 + 7 + 6 + 7 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 3095931 + ... + 3097221.

Almost surely, 2^3997679616 is an apocalyptic number.

3997679616 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 3997679616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773594240).

3997679616 is an abundant number, since it is smaller than the sum of its proper divisors (9549508864).

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

3997679616 is an equidigital number, since it uses as much as digits as its factorization.

3997679616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1303 counting only the distinct ones).

The product of its digits is 23147208, while the sum is 63.

The square root of 3997679616 is about 63227.2062960242. The cubic root of 3997679616 is about 1587.0940442623.

The spelling of 3997679616 in words is "three billion, nine hundred ninety-seven million, six hundred seventy-nine thousand, six hundred sixteen".