3285609600 has 384 divisors, whose sum is σ = 13322897280. Its totient is φ = 693043200.

The previous prime is 3285609553. The next prime is 3285609611. The reversal of 3285609600 is 69065823.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3285609600² = 21590460887224320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 871720 + ... + 875480.

It is an arithmetic number, because the mean of its divisors is an integer number (34695045).

Almost surely, 2^3285609600 is an apocalyptic number.

3285609600 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 3285609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661448640).

3285609600 is an abundant number, since it is smaller than the sum of its proper divisors (10037287680).

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

3285609600 is a wasteful number, since it uses less digits than its factorization.

3285609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 3285609600 is about 57320.2372639891. The cubic root of 3285609600 is about 1486.6383079801.

The spelling of 3285609600 in words is "three billion, two hundred eighty-five million, six hundred nine thousand, six hundred".