3447398400 has 336 divisors, whose sum is σ = 11831409408. Its totient is φ = 884736000.

The previous prime is 3447398393. The next prime is 3447398407. The reversal of 3447398400 is 48937443.

It is an interprime number because it is at equal distance from previous prime (3447398393) and next prime (3447398407).

It is not an unprimeable number, because it can be changed into a prime (3447398407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19046310 + ... + 19046490.

It is an arithmetic number, because the mean of its divisors is an integer number (35212528).

Almost surely, 2^3447398400 is an apocalyptic number.

3447398400 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 3447398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915704704).

3447398400 is an abundant number, since it is smaller than the sum of its proper divisors (8384011008).

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

3447398400 is a wasteful number, since it uses less digits than its factorization.

3447398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3447398400 is about 58714.5501558174. The cubic root of 3447398400 is about 1510.6498964096.

The spelling of 3447398400 in words is "three billion, four hundred forty-seven million, three hundred ninety-eight thousand, four hundred".