3281383526400 has 1248 divisors, whose sum is σ = 14100619089920. Its totient is φ = 732402155520.

The previous prime is 3281383526389. The next prime is 3281383526441. The reversal of 3281383526400 is 46253831823.

3281383526400 is a `hidden beast` number, since 3 + 2 + 8 + 1 + 3 + 83 + 526 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 832202829 + ... + 832206771.

Almost surely, 2^{3281383526400} is an apocalyptic number.

3281383526400 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 3281383526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050309544960).

3281383526400 is an abundant number, since it is smaller than the sum of its proper divisors (10819235563520).

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

3281383526400 is a wasteful number, since it uses less digits than its factorization.

3281383526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3281383526400 in words is "three trillion, two hundred eighty-one billion, three hundred eighty-three million, five hundred twenty-six thousand, four hundred".