3531788749440 has 2048 divisors, whose sum is σ = 15135173222400. Its totient is φ = 771279667200.

The previous prime is 3531788749417. The next prime is 3531788749453. The reversal of 3531788749440 is 449478871353.

3531788749440 is a `hidden beast` number, since 3 + 5 + 3 + 1 + 78 + 87 + 49 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34968205390 + ... + 34968205490.

It is an arithmetic number, because the mean of its divisors is an integer number (7390221300).

Almost surely, 2^{3531788749440} is an apocalyptic number.

3531788749440 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 3531788749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7567586611200).

3531788749440 is an abundant number, since it is smaller than the sum of its proper divisors (11603384472960).

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

3531788749440 is an equidigital number, since it uses as much as digits as its factorization.

3531788749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 3531788749440 in words is "three trillion, five hundred thirty-one billion, seven hundred eighty-eight million, seven hundred forty-nine thousand, four hundred forty".