3339379200 has 480 divisors, whose sum is σ = 12177792000. Its totient is φ = 802897920.

The previous prime is 3339379189. The next prime is 3339379201. The reversal of 3339379200 is 29739333.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3339379200² = 22302906882785280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3339379201) 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 47 ways as a sum of consecutive naturals, for example, 16780701 + ... + 16780899.

It is an arithmetic number, because the mean of its divisors is an integer number (25370400).

Almost surely, 2^3339379200 is an apocalyptic number.

3339379200 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 3339379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088896000).

3339379200 is an abundant number, since it is smaller than the sum of its proper divisors (8838412800).

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

3339379200 is a wasteful number, since it uses less digits than its factorization.

3339379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 39.

The square root of 3339379200 is about 57787.3619401336. The cubic root of 3339379200 is about 1494.7041692326.

The spelling of 3339379200 in words is "three billion, three hundred thirty-nine million, three hundred seventy-nine thousand, two hundred".