3668739264 has 224 divisors, whose sum is σ = 11587276800. Its totient is φ = 1134120960.

The previous prime is 3668739257. The next prime is 3668739307. The reversal of 3668739264 is 4629378663.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3668739264.

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 31 ways as a sum of consecutive naturals, for example, 2084817 + ... + 2086575.

Almost surely, 2^3668739264 is an apocalyptic number.

3668739264 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 3668739264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793638400).

3668739264 is an abundant number, since it is smaller than the sum of its proper divisors (7918537536).

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

3668739264 is a wasteful number, since it uses less digits than its factorization.

3668739264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1852 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 3668739264 is about 60570.1185734352. The cubic root of 3668739264 is about 1542.3121595465.

The spelling of 3668739264 in words is "three billion, six hundred sixty-eight million, seven hundred thirty-nine thousand, two hundred sixty-four".