3441014400 has 192 divisors, whose sum is σ = 11549394720. Its totient is φ = 900157440.

The previous prime is 3441014389. The next prime is 3441014411. The reversal of 3441014400 is 44101443.

It is an interprime number because it is at equal distance from previous prime (3441014389) and next prime (3441014411).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505419 + ... + 512181.

Almost surely, 2^3441014400 is an apocalyptic number.

3441014400 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 3441014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774697360).

3441014400 is an abundant number, since it is smaller than the sum of its proper divisors (8108380320).

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

3441014400 is a wasteful number, since it uses less digits than its factorization.

3441014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6843 (or 6826 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3441014400 is about 58660.1602452636. The cubic root of 3441014400 is about 1509.7168306632.

Adding to 3441014400 its reverse (44101443), we get a palindrome (3485115843).

The spelling of 3441014400 in words is "three billion, four hundred forty-one million, fourteen thousand, four hundred".