3339023040 has 448 divisors, whose sum is σ = 12640665600. Its totient is φ = 826785792.

The previous prime is 3339023029. The next prime is 3339023041. The reversal of 3339023040 is 403209333.

3339023040 is a `hidden beast` number, since 3 + 3 + 390 + 230 + 40 = 666.

It is a super-2 number, since 2×3339023040² = 22298149723301683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3339022995 and 3339023013.

It is not an unprimeable number, because it can be changed into a prime (3339023041) 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 63 ways as a sum of consecutive naturals, for example, 18653671 + ... + 18653849.

Almost surely, 2^3339023040 is an apocalyptic number.

3339023040 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 3339023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320332800).

3339023040 is an abundant number, since it is smaller than the sum of its proper divisors (9301642560).

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

3339023040 is a wasteful number, since it uses less digits than its factorization.

3339023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 3339023040 is about 57784.2802152973. The cubic root of 3339023040 is about 1494.6510283410.

The spelling of 3339023040 in words is "three billion, three hundred thirty-nine million, twenty-three thousand, forty".