3668788992 has 144 divisors (see below), whose sum is σ = 10996392960. Its totient is φ = 1075814400.

The previous prime is 3668788987. The next prime is 3668789011. The reversal of 3668788992 is 2998878663.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254884 + ... + 268892.

It is an arithmetic number, because the mean of its divisors is an integer number (76363840).

Almost surely, 2^3668788992 is an apocalyptic number.

3668788992 is a gapful number since it is divisible by the number (32) 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 3668788992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5498196480).

3668788992 is an abundant number, since it is smaller than the sum of its proper divisors (7327603968).

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

3668788992 is a wasteful number, since it uses less digits than its factorization.

3668788992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14070 (or 14056 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 66.

The square root of 3668788992 is about 60570.5290714882. The cubic root of 3668788992 is about 1542.3191279487.

The spelling of 3668788992 in words is "three billion, six hundred sixty-eight million, seven hundred eighty-eight thousand, nine hundred ninety-two".