3816583680 has 640 divisors, whose sum is σ = 15487008768. Its totient is φ = 780337152.

The previous prime is 3816583679. The next prime is 3816583697. The reversal of 3816583680 is 863856183.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30051777 + ... + 30051903.

Almost surely, 2^3816583680 is an apocalyptic number.

3816583680 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 3816583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7743504384).

3816583680 is an abundant number, since it is smaller than the sum of its proper divisors (11670425088).

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

3816583680 is a wasteful number, since it uses less digits than its factorization.

3816583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 3816583680 is about 61778.5049997165. The cubic root of 3816583680 is about 1562.7575159991.

The spelling of 3816583680 in words is "three billion, eight hundred sixteen million, five hundred eighty-three thousand, six hundred eighty".