3441400400 has 60 divisors (see below), whose sum is σ = 8403564444. Its totient is φ = 1353984000.

The previous prime is 3441400397. The next prime is 3441400411. The reversal of 3441400400 is 40041443.

3441400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1825681984 + 1615718416 = 42728^2 + 40196^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46121 + ... + 94920.

Almost surely, 2^3441400400 is an apocalyptic number.

It is an amenable number.

3441400400 is an abundant number, since it is smaller than the sum of its proper divisors (4962164044).

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

3441400400 is a wasteful number, since it uses less digits than its factorization.

3441400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141120 (or 141109 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3441400400 is about 58663.4502906196. The cubic root of 3441400400 is about 1509.7732799966.

Adding to 3441400400 its reverse (40041443), we get a palindrome (3481441843).

The spelling of 3441400400 in words is "three billion, four hundred forty-one million, four hundred thousand, four hundred".