3768617664 has 560 divisors, whose sum is σ = 13940942400. Its totient is φ = 982056960.

The previous prime is 3768617651. The next prime is 3768617707. The reversal of 3768617664 is 4667168673.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3768617664.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25292662 + ... + 25292810.

It is an arithmetic number, because the mean of its divisors is an integer number (24894540).

Almost surely, 2^3768617664 is an apocalyptic number.

3768617664 is a gapful number since it is divisible by the number (34) 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 3768617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6970471200).

3768617664 is an abundant number, since it is smaller than the sum of its proper divisors (10172324736).

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

3768617664 is a wasteful number, since it uses less digits than its factorization.

3768617664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 3768617664 is about 61389.0679518756. The cubic root of 3768617664 is about 1556.1830946995.

The spelling of 3768617664 in words is "three billion, seven hundred sixty-eight million, six hundred seventeen thousand, six hundred sixty-four".