3683247876 has 480 divisors, whose sum is σ = 12879820800. Its totient is φ = 908107200.

The previous prime is 3683247859. The next prime is 3683247913. The reversal of 3683247876 is 6787423863.

3683247876 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 super-2 number, since 2×3683247876² = 27132629832117022752, which contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 28116331 + ... + 28116461.

It is an arithmetic number, because the mean of its divisors is an integer number (26832960).

Almost surely, 2^3683247876 is an apocalyptic number.

3683247876 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 3683247876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439910400).

3683247876 is an abundant number, since it is smaller than the sum of its proper divisors (9196572924).

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

3683247876 is a wasteful number, since it uses less digits than its factorization.

3683247876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 177 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 3683247876 is about 60689.7674736030. The cubic root of 3683247876 is about 1544.3425914548.

The spelling of 3683247876 in words is "three billion, six hundred eighty-three million, two hundred forty-seven thousand, eight hundred seventy-six".