3665769408 has 336 divisors, whose sum is σ = 12785344000. Its totient is φ = 980895744.

The previous prime is 3665769391. The next prime is 3665769421. The reversal of 3665769408 is 8049675663.

3665769408 is a `hidden beast` number, since 3 + 66 + 576 + 9 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8350053 + ... + 8350491.

Almost surely, 2^3665769408 is an apocalyptic number.

3665769408 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 3665769408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6392672000).

3665769408 is an abundant number, since it is smaller than the sum of its proper divisors (9119574592).

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

3665769408 is a wasteful number, since it uses less digits than its factorization.

3665769408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 3665769408 is about 60545.5977590444. The cubic root of 3665769408 is about 1541.8958783475.

The spelling of 3665769408 in words is "three billion, six hundred sixty-five million, seven hundred sixty-nine thousand, four hundred eight".