3285139200 has 216 divisors, whose sum is σ = 12390956928. Its totient is φ = 750858240.

The previous prime is 3285139199. The next prime is 3285139217. The reversal of 3285139200 is 29315823.

3285139200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122179 + ... + 146621.

Almost surely, 2^3285139200 is an apocalyptic number.

3285139200 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 3285139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195478464).

3285139200 is an abundant number, since it is smaller than the sum of its proper divisors (9105817728).

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

3285139200 is a wasteful number, since it uses less digits than its factorization.

3285139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24479 (or 24460 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3285139200 is about 57316.1338542648. The cubic root of 3285139200 is about 1486.5673573681.

The spelling of 3285139200 in words is "three billion, two hundred eighty-five million, one hundred thirty-nine thousand, two hundred".