4348409400 has 384 divisors, whose sum is σ = 15628166400. Its totient is φ = 1110412800.

The previous prime is 4348409393. The next prime is 4348409453. The reversal of 4348409400 is 49048434.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14164047 + ... + 14164353.

It is an arithmetic number, because the mean of its divisors is an integer number (40698350).

Almost surely, 2^4348409400 is an apocalyptic number.

4348409400 is a gapful number since it is divisible by the number (40) 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 4348409400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814083200).

4348409400 is an abundant number, since it is smaller than the sum of its proper divisors (11279757000).

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

4348409400 is a wasteful number, since it uses less digits than its factorization.

4348409400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4348409400 is about 65942.4703813862. The cubic root of 4348409400 is about 1632.2129101551.

The spelling of 4348409400 in words is "four billion, three hundred forty-eight million, four hundred nine thousand, four hundred".