3444131878290 has 24 divisors (see below), whose sum is σ = 8954742883788. Its totient is φ = 918435167520.

The previous prime is 3444131878289. The next prime is 3444131878307. The reversal of 3444131878290 is 928781314443.

3444131878290 is a `hidden beast` number, since 3 + 4 + 441 + 31 + 8 + 7 + 82 + 90 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3436971164649 + 7160713641 = 1853907^2 + 84621^2 .

It is a super-3 number, since 3×3444131878290³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19134065901 + ... + 19134066080.

Almost surely, 2^{3444131878290} is an apocalyptic number.

3444131878290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3444131878290 is an abundant number, since it is smaller than the sum of its proper divisors (5510611005498).

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

3444131878290 is a wasteful number, since it uses less digits than its factorization.

3444131878290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38268131994 (or 38268131991 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3444131878290 in words is "three trillion, four hundred forty-four billion, one hundred thirty-one million, eight hundred seventy-eight thousand, two hundred ninety".