3440055400 has 192 divisors, whose sum is σ = 8858808000. Its totient is φ = 1236480000.

The previous prime is 3440055397. The next prime is 3440055439. The reversal of 3440055400 is 45500443.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13705275 + ... + 13705525.

It is an arithmetic number, because the mean of its divisors is an integer number (46139625).

Almost surely, 2^3440055400 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 3440055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429404000).

3440055400 is an abundant number, since it is smaller than the sum of its proper divisors (5418752600).

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

3440055400 is a wasteful number, since it uses less digits than its factorization.

3440055400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 3440055400 is about 58651.9854736393. The cubic root of 3440055400 is about 1509.5765665052.

Adding to 3440055400 its reverse (45500443), we get a palindrome (3485555843).

The spelling of 3440055400 in words is "three billion, four hundred forty million, fifty-five thousand, four hundred".