3281875107840 has 1200 divisors, whose sum is σ = 14070312442368. Its totient is φ = 717527973888.

The previous prime is 3281875107839. The next prime is 3281875107851. The reversal of 3281875107840 is 487015781823.

3281875107840 is a `hidden beast` number, since 3 + 2 + 8 + 1 + 87 + 510 + 7 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 142690222069 + ... + 142690222091.

Almost surely, 2^{3281875107840} is an apocalyptic number.

3281875107840 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 3281875107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7035156221184).

3281875107840 is an abundant number, since it is smaller than the sum of its proper divisors (10788437334528).

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

3281875107840 is an frugal number, since it uses more digits than its factorization.

3281875107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 3281875107840 in words is "three trillion, two hundred eighty-one billion, eight hundred seventy-five million, one hundred seven thousand, eight hundred forty".