3281361408 has 480 divisors, whose sum is σ = 11377396800. Its totient is φ = 925655040.

The previous prime is 3281361407. The next prime is 3281361467. The reversal of 3281361408 is 8041631823.

3281361408 is a `hidden beast` number, since 3 + 28 + 13 + 614 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3281361407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105850353 + ... + 105850383.

It is an arithmetic number, because the mean of its divisors is an integer number (23702910).

Almost surely, 2^3281361408 is an apocalyptic number.

3281361408 is a gapful number since it is divisible by the number (38) 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 3281361408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688698400).

3281361408 is an abundant number, since it is smaller than the sum of its proper divisors (8096035392).

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

3281361408 is a wasteful number, since it uses less digits than its factorization.

3281361408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3281361408 is about 57283.1686274424. The cubic root of 3281361408 is about 1485.9973057898.

The spelling of 3281361408 in words is "three billion, two hundred eighty-one million, three hundred sixty-one thousand, four hundred eight".