3338803200 has 144 divisors (see below), whose sum is σ = 11038121640. Its totient is φ = 890306560.

The previous prime is 3338803189. The next prime is 3338803201. The reversal of 3338803200 is 23088333.

It is a super-2 number, since 2×3338803200² = 22295213616660480000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3338803201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142732 + ... + 164468.

Almost surely, 2^3338803200 is an apocalyptic number.

3338803200 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 3338803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519060820).

3338803200 is an abundant number, since it is smaller than the sum of its proper divisors (7699318440).

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

3338803200 is a wasteful number, since it uses less digits than its factorization.

3338803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21772 (or 21747 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3338803200 is about 57782.3779365301. The cubic root of 3338803200 is about 1494.6182252037.

The spelling of 3338803200 in words is "three billion, three hundred thirty-eight million, eight hundred three thousand, two hundred".