3338863920 has 720 divisors, whose sum is σ = 14587503840. Its totient is φ = 678150144.

The previous prime is 3338863907. The next prime is 3338863921. The reversal of 3338863920 is 293688333.

3338863920 is a `hidden beast` number, since 3 + 3 + 3 + 8 + 8 + 639 + 2 + 0 = 666.

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

It is a super-2 number, since 2×3338863920² = 22296024552555532800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3338863921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11395294 + ... + 11395586.

It is an arithmetic number, because the mean of its divisors is an integer number (20260422).

Almost surely, 2^3338863920 is an apocalyptic number.

3338863920 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 3338863920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7293751920).

3338863920 is an abundant number, since it is smaller than the sum of its proper divisors (11248639920).

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

3338863920 is a wasteful number, since it uses less digits than its factorization.

3338863920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3338863920 is about 57782.9033538468. The cubic root of 3338863920 is about 1494.6272856028.

The spelling of 3338863920 in words is "three billion, three hundred thirty-eight million, eight hundred sixty-three thousand, nine hundred twenty".