3444829408 has 48 divisors (see below), whose sum is σ = 7244627040. Its totient is φ = 1606721536.

The previous prime is 3444829387. The next prime is 3444829429. The reversal of 3444829408 is 8049284443.

It is an interprime number because it is at equal distance from previous prime (3444829387) and next prime (3444829429).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 33453 + ... + 89491.

It is an arithmetic number, because the mean of its divisors is an integer number (150929730).

Almost surely, 2^3444829408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444829408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622313520).

3444829408 is an abundant number, since it is smaller than the sum of its proper divisors (3799797632).

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

3444829408 is a wasteful number, since it uses less digits than its factorization.

3444829408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56179 (or 56171 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 46.

The square root of 3444829408 is about 58692.6691163385. The cubic root of 3444829408 is about 1510.2745590830.

The spelling of 3444829408 in words is "three billion, four hundred forty-four million, eight hundred twenty-nine thousand, four hundred eight".