3876647040 has 448 divisors, whose sum is σ = 15893444160. Its totient is φ = 885344256.

The previous prime is 3876647039. The next prime is 3876647041. The reversal of 3876647040 is 407466783.

3876647040 is a `hidden beast` number, since 3 + 87 + 66 + 470 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3876647039) and next prime (3876647041).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (3876647041) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3265327 + ... + 3266513.

Almost surely, 2^3876647040 is an apocalyptic number.

3876647040 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 3876647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7946722080).

3876647040 is an abundant number, since it is smaller than the sum of its proper divisors (12016797120).

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

3876647040 is an equidigital number, since it uses as much as digits as its factorization.

3876647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3876647040 is about 62262.7259281185. The cubic root of 3876647040 is about 1570.9128314305.

The spelling of 3876647040 in words is "three billion, eight hundred seventy-six million, six hundred forty-seven thousand, forty".