3444004000 has 48 divisors (see below), whose sum is σ = 8461927656. Its totient is φ = 1377600000.

The previous prime is 3444003929. The next prime is 3444004013. The reversal of 3444004000 is 4004443.

It can be written as a sum of positive squares in 4 ways, for example, as 2023920144 + 1420083856 = 44988^2 + 37684^2 .

It is a super-2 number, since 2×3444004000² = 23722327104032000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426501 + ... + 434500.

Almost surely, 2^3444004000 is an apocalyptic number.

It is an amenable number.

3444004000 is an abundant number, since it is smaller than the sum of its proper divisors (5017923656).

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

3444004000 is an equidigital number, since it uses as much as digits as its factorization.

3444004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861026 (or 861008 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 3444004000 is about 58685.6370843838. The cubic root of 3444004000 is about 1510.1539249255.

Adding to 3444004000 its reverse (4004443), we get a palindrome (3448008443).

The spelling of 3444004000 in words is "three billion, four hundred forty-four million, four thousand".