3441398400 has 960 divisors, whose sum is σ = 14875565760. Its totient is φ = 774144000.

The previous prime is 3441398369. The next prime is 3441398449. The reversal of 3441398400 is 48931443.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48470365 + ... + 48470435.

It is an arithmetic number, because the mean of its divisors is an integer number (15495381).

Almost surely, 2^3441398400 is an apocalyptic number.

3441398400 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 3441398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7437782880).

3441398400 is an abundant number, since it is smaller than the sum of its proper divisors (11434167360).

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

3441398400 is a wasteful number, since it uses less digits than its factorization.

3441398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3441398400 is about 58663.4332442280. The cubic root of 3441398400 is about 1509.7729875239.

The spelling of 3441398400 in words is "three billion, four hundred forty-one million, three hundred ninety-eight thousand, four hundred".