3669558768 has 320 divisors, whose sum is σ = 11693299200. Its totient is φ = 1097349120.

The previous prime is 3669558689. The next prime is 3669558803. The reversal of 3669558768 is 8678559663.

3669558768 is a `hidden beast` number, since 3 + 6 + 6 + 9 + 558 + 76 + 8 = 666.

3669558768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13058788 + ... + 13059068.

It is an arithmetic number, because the mean of its divisors is an integer number (36541560).

Almost surely, 2^3669558768 is an apocalyptic number.

3669558768 is a gapful number since it is divisible by the number (38) 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 3669558768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846649600).

3669558768 is an abundant number, since it is smaller than the sum of its proper divisors (8023740432).

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

3669558768 is a wasteful number, since it uses less digits than its factorization.

3669558768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 385 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The square root of 3669558768 is about 60576.8831155912. The cubic root of 3669558768 is about 1542.4269889011.

The spelling of 3669558768 in words is "three billion, six hundred sixty-nine million, five hundred fifty-eight thousand, seven hundred sixty-eight".