3236163840 has 900 divisors, whose sum is σ = 14547845004. Its totient is φ = 682795008.

The previous prime is 3236163839. The next prime is 3236163857. The reversal of 3236163840 is 483616323.

3236163840 is a `hidden beast` number, since 3 + 2 + 3 + 616 + 38 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 796594176 + 2439569664 = 28224^2 + 49392^2 .

It is a super-3 number, since 3×3236163840³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3236163795 and 3236163804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 248935674 + ... + 248935686.

Almost surely, 2^3236163840 is an apocalyptic number.

3236163840 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 3236163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7273922502).

3236163840 is an abundant number, since it is smaller than the sum of its proper divisors (11311681164).

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

3236163840 is an frugal number, since it uses more digits than its factorization.

3236163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3236163840 is about 56887.2906719946. The cubic root of 3236163840 is about 1479.1430149424.

The spelling of 3236163840 in words is "three billion, two hundred thirty-six million, one hundred sixty-three thousand, eight hundred forty".