3444004454451 has 32 divisors (see below), whose sum is σ = 5055673456896. Its totient is φ = 2085286896000.

The previous prime is 3444004454431. The next prime is 3444004454489. The reversal of 3444004454451 is 1544544004443.

It is a de Polignac number, because none of the positive numbers 2^k-3444004454451 is a prime.

It is a super-2 number, since 2×3444004454451² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3444004454431) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3786315 + ... + 4606971.

It is an arithmetic number, because the mean of its divisors is an integer number (157989795528).

Almost surely, 2^{3444004454451} is an apocalyptic number.

3444004454451 is a deficient number, since it is larger than the sum of its proper divisors (1611669002445).

3444004454451 is a wasteful number, since it uses less digits than its factorization.

3444004454451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821744 (or 821722 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 42.

Adding to 3444004454451 its reverse (1544544004443), we get a palindrome (4988548458894).

The spelling of 3444004454451 in words is "three trillion, four hundred forty-four billion, four million, four hundred fifty-four thousand, four hundred fifty-one".