3281094432 has 384 divisors, whose sum is σ = 12047616000. Its totient is φ = 843955200.

The previous prime is 3281094391. The next prime is 3281094437. The reversal of 3281094432 is 2344901823.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3281094437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9912507 + ... + 9912837.

It is an arithmetic number, because the mean of its divisors is an integer number (31374000).

Almost surely, 2^3281094432 is an apocalyptic number.

3281094432 is a gapful number since it is divisible by the number (32) 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 3281094432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023808000).

3281094432 is an abundant number, since it is smaller than the sum of its proper divisors (8766521568).

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

3281094432 is a wasteful number, since it uses less digits than its factorization.

3281094432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3281094432 is about 57280.8382620227. The cubic root of 3281094432 is about 1485.9570037803.

The spelling of 3281094432 in words is "three billion, two hundred eighty-one million, ninety-four thousand, four hundred thirty-two".