3816766560 has 288 divisors, whose sum is σ = 13273515360. Its totient is φ = 917618688.

The previous prime is 3816766549. The next prime is 3816766609. The reversal of 3816766560 is 656676183.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30053217 + ... + 30053343.

It is an arithmetic number, because the mean of its divisors is an integer number (46088595).

Almost surely, 2^3816766560 is an apocalyptic number.

3816766560 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 3816766560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636757680).

3816766560 is an abundant number, since it is smaller than the sum of its proper divisors (9456748800).

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

3816766560 is a wasteful number, since it uses less digits than its factorization.

3816766560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 3816766560 is about 61779.9851084475. The cubic root of 3816766560 is about 1562.7824765881.

The spelling of 3816766560 in words is "three billion, eight hundred sixteen million, seven hundred sixty-six thousand, five hundred sixty".