3665163840 has 672 divisors, whose sum is σ = 14056156800. Its totient is φ = 805109760.

The previous prime is 3665163829. The next prime is 3665163857. The reversal of 3665163840 is 483615663.

It is a super-3 number, since 3×3665163840³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3665163792 and 3665163801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89394220 + ... + 89394260.

It is an arithmetic number, because the mean of its divisors is an integer number (20916900).

Almost surely, 2^3665163840 is an apocalyptic number.

3665163840 is a gapful number since it is divisible by the number (30) 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 3665163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7028078400).

3665163840 is an abundant number, since it is smaller than the sum of its proper divisors (10390992960).

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

3665163840 is a wasteful number, since it uses less digits than its factorization.

3665163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 3665163840 is about 60540.5966273871. The cubic root of 3665163840 is about 1541.8109690038.

The spelling of 3665163840 in words is "three billion, six hundred sixty-five million, one hundred sixty-three thousand, eight hundred forty".