3281387331600 has 1215 divisors, whose sum is σ = 14042216565117. Its totient is φ = 707425850880.

The previous prime is 3281387331571. The next prime is 3281387331601. The reversal of 3281387331600 is 61337831823.

The square root of 3281387331600 is 1811460.

It is a perfect power (a square), and thus also a powerful number.

3281387331600 is a `hidden beast` number, since 3 + 2 + 8 + 1 + 3 + 8 + 7 + 3 + 31 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1181299439376 + 2100087892224 = 1086876^2 + 1449168^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3281387331601) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 14455450687 + ... + 14455450913.

Almost surely, 2^{3281387331600} is an apocalyptic number.

3281387331600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3281387331600 is the 1811460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3281387331600

3281387331600 is an abundant number, since it is smaller than the sum of its proper divisors (10760829233517).

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

3281387331600 is a wasteful number, since it uses less digits than its factorization.

3281387331600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3281387331600 in words is "three trillion, two hundred eighty-one billion, three hundred eighty-seven million, three hundred thirty-one thousand, six hundred".