3976667136 has 280 divisors, whose sum is σ = 12821794524. Its totient is φ = 1220935680.

The previous prime is 3976667119. The next prime is 3976667143. The reversal of 3976667136 is 6317666793.

It can be written as a sum of positive squares in 2 ways, for example, as 3657830400 + 318836736 = 60480^2 + 17856^2 .

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 19 ways as a sum of consecutive naturals, for example, 8625946 + ... + 8626406.

Almost surely, 2^3976667136 is an apocalyptic number.

3976667136 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 3976667136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410897262).

3976667136 is an abundant number, since it is smaller than the sum of its proper divisors (8845127388).

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

3976667136 is an equidigital number, since it uses as much as digits as its factorization.

3976667136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 479 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 3976667136 is about 63060.8209271018. The cubic root of 3976667136 is about 1584.3084798654.

The spelling of 3976667136 in words is "three billion, nine hundred seventy-six million, six hundred sixty-seven thousand, one hundred thirty-six".