3236682240 has 720 divisors, whose sum is σ = 13074725664. Its totient is φ = 766402560.

The previous prime is 3236682217. The next prime is 3236682301. The reversal of 3236682240 is 422866323.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3236682240² = 20952223845462835200, which contains 22 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 = 3236682195 and 3236682204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75271659 + ... + 75271701.

Almost surely, 2^3236682240 is an apocalyptic number.

3236682240 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 3236682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6537362832).

3236682240 is an abundant number, since it is smaller than the sum of its proper divisors (9838043424).

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

3236682240 is an equidigital number, since it uses as much as digits as its factorization.

3236682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3236682240 is about 56891.8468675433. The cubic root of 3236682240 is about 1479.2219918666.

The spelling of 3236682240 in words is "three billion, two hundred thirty-six million, six hundred eighty-two thousand, two hundred forty".