3226890240 has 624 divisors, whose sum is σ = 13309523136. Its totient is φ = 707788800.

The previous prime is 3226890229. The next prime is 3226890269. The reversal of 3226890240 is 420986223.

3226890240 is a `hidden beast` number, since 322 + 6 + 8 + 90 + 240 = 666.

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 = 3226890195 and 3226890204.

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, 52899810 + ... + 52899870.

It is an arithmetic number, because the mean of its divisors is an integer number (21329364).

Almost surely, 2^3226890240 is an apocalyptic number.

3226890240 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 3226890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6654761568).

3226890240 is an abundant number, since it is smaller than the sum of its proper divisors (10082632896).

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

3226890240 is a wasteful number, since it uses less digits than its factorization.

3226890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3226890240 is about 56805.7236552797. The cubic root of 3226890240 is about 1477.7287783369.

The spelling of 3226890240 in words is "three billion, two hundred twenty-six million, eight hundred ninety thousand, two hundred forty".