3319878240 has 576 divisors, whose sum is σ = 13770207360. Its totient is φ = 712212480.

The previous prime is 3319878217. The next prime is 3319878271. The reversal of 3319878240 is 428789133.

3319878240 is a `hidden beast` number, since 331 + 9 + 8 + 78 + 240 = 666.

It is a super-2 number, since 2×3319878240² = 22043183056850995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 11984982 + ... + 11985258.

It is an arithmetic number, because the mean of its divisors is an integer number (23906610).

Almost surely, 2^3319878240 is an apocalyptic number.

3319878240 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 3319878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885103680).

3319878240 is an abundant number, since it is smaller than the sum of its proper divisors (10450329120).

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

3319878240 is a wasteful number, since it uses less digits than its factorization.

3319878240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3319878240 is about 57618.3845660393. The cubic root of 3319878240 is about 1491.7889477623.

The spelling of 3319878240 in words is "three billion, three hundred nineteen million, eight hundred seventy-eight thousand, two hundred forty".