3383748900 has 243 divisors, whose sum is σ = 12382494579. Its totient is φ = 770636160.

The previous prime is 3383748877. The next prime is 3383748911. The reversal of 3383748900 is 98473833.

It is a happy number.

The square root of 3383748900 is 58170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 775399716 + 2608349184 = 27846^2 + 51072^2 .

It is a super-2 number, since 2×3383748900² = 22899513236502420000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12215562 + ... + 12215838.

Almost surely, 2^3383748900 is an apocalyptic number.

3383748900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3383748900 is the 58170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3383748900

3383748900 is an abundant number, since it is smaller than the sum of its proper divisors (8998745679).

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

3383748900 is a wasteful number, since it uses less digits than its factorization.

3383748900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The cubic root of 3383748900 is about 1501.2950149691.

The spelling of 3383748900 in words is "three billion, three hundred eighty-three million, seven hundred forty-eight thousand, nine hundred".