3281495040 has 528 divisors, whose sum is σ = 12415628160. Its totient is φ = 798228480.

The previous prime is 3281495039. The next prime is 3281495069. The reversal of 3281495040 is 405941823.

3281495040 is a `hidden beast` number, since 3 + 2 + 8 + 149 + 504 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3281494986 and 3281495004.

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, 46218205 + ... + 46218275.

Almost surely, 2^3281495040 is an apocalyptic number.

3281495040 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 3281495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6207814080).

3281495040 is an abundant number, since it is smaller than the sum of its proper divisors (9134133120).

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

3281495040 is a wasteful number, since it uses less digits than its factorization.

3281495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3281495040 is about 57284.3350314901. The cubic root of 3281495040 is about 1486.0174777116.

The spelling of 3281495040 in words is "three billion, two hundred eighty-one million, four hundred ninety-five thousand, forty".