3269783040 has 320 divisors, whose sum is σ = 11073148416. Its totient is φ = 821460992.

The previous prime is 3269783039. The next prime is 3269783047. The reversal of 3269783040 is 403879623.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3269783040² = 21382962257343283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3269782983 and 3269783001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3269783047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18900394 + ... + 18900566.

Almost surely, 2^3269783040 is an apocalyptic number.

3269783040 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 3269783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536574208).

3269783040 is an abundant number, since it is smaller than the sum of its proper divisors (7803365376).

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

3269783040 is a wasteful number, since it uses less digits than its factorization.

3269783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 3269783040 is about 57182.0167535214. The cubic root of 3269783040 is about 1484.2474528205.

The spelling of 3269783040 in words is "three billion, two hundred sixty-nine million, seven hundred eighty-three thousand, forty".