3281096000 has 224 divisors, whose sum is σ = 10002999552. Its totient is φ = 1038182400.

The previous prime is 3281095943. The next prime is 3281096009. The reversal of 3281096000 is 6901823.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3281096000² = 21531181922432000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3281096009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725747 + ... + 730253.

It is an arithmetic number, because the mean of its divisors is an integer number (44656248).

Almost surely, 2^3281096000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3281096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001499776).

3281096000 is an abundant number, since it is smaller than the sum of its proper divisors (6721903552).

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

3281096000 is a wasteful number, since it uses less digits than its factorization.

3281096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 3281096000 is about 57280.8519489716. The cubic root of 3281096000 is about 1485.9572404879.

Adding to 3281096000 its reverse (6901823), we get a palindrome (3287997823).

The spelling of 3281096000 in words is "three billion, two hundred eighty-one million, ninety-six thousand".