3444335040 has 112 divisors (see below), whose sum is σ = 11121298560. Its totient is φ = 902906880.

The previous prime is 3444334987. The next prime is 3444335051. The reversal of 3444335040 is 405334443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3444334989 and 3444335007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26235 + ... + 87045.

Almost surely, 2^3444335040 is an apocalyptic number.

3444335040 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 3444335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560649280).

3444335040 is an abundant number, since it is smaller than the sum of its proper divisors (7676963520).

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

3444335040 is a wasteful number, since it uses less digits than its factorization.

3444335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60890 (or 60880 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

The square root of 3444335040 is about 58688.4574682279. The cubic root of 3444335040 is about 1510.2023090484.

Adding to 3444335040 its reverse (405334443), we get a palindrome (3849669483).

The spelling of 3444335040 in words is "three billion, four hundred forty-four million, three hundred thirty-five thousand, forty".