3363933888 has 840 divisors, whose sum is σ = 13243895280. Its totient is φ = 836075520.

The previous prime is 3363933887. The next prime is 3363933893. The reversal of 3363933888 is 8883393633.

It is a super-2 number, since 2×3363933888² = 22632102405669593088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3363933887) 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 119 ways as a sum of consecutive naturals, for example, 82047148 + ... + 82047188.

It is an arithmetic number, because the mean of its divisors is an integer number (15766542).

Almost surely, 2^3363933888 is an apocalyptic number.

3363933888 is a gapful number since it is divisible by the number (38) 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 3363933888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621947640).

3363933888 is an abundant number, since it is smaller than the sum of its proper divisors (9879961392).

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

3363933888 is a wasteful number, since it uses less digits than its factorization.

3363933888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 3363933888 is about 57999.4300661653. The cubic root of 3363933888 is about 1498.3587809216.

The spelling of 3363933888 in words is "three billion, three hundred sixty-three million, nine hundred thirty-three thousand, eight hundred eighty-eight".