3666772368 has 320 divisors, whose sum is σ = 12455393280. Its totient is φ = 1011128832.

The previous prime is 3666772357. The next prime is 3666772379. The reversal of 3666772368 is 8632776663.

It is an interprime number because it is at equal distance from previous prime (3666772357) and next prime (3666772379).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21195130 + ... + 21195302.

It is an arithmetic number, because the mean of its divisors is an integer number (38923104).

Almost surely, 2^3666772368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3666772368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227696640).

3666772368 is an abundant number, since it is smaller than the sum of its proper divisors (8788620912).

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

3666772368 is a wasteful number, since it uses less digits than its factorization.

3666772368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 391 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The square root of 3666772368 is about 60553.8798756942. The cubic root of 3666772368 is about 1542.0364871985.

The spelling of 3666772368 in words is "three billion, six hundred sixty-six million, seven hundred seventy-two thousand, three hundred sixty-eight".