3473344800 has 432 divisors, whose sum is σ = 13461450912. Its totient is φ = 870912000.

The previous prime is 3473344769. The next prime is 3473344801. The reversal of 3473344800 is 84433743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (3473344801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3304275 + ... + 3305325.

It is an arithmetic number, because the mean of its divisors is an integer number (31160766).

Almost surely, 2^3473344800 is an apocalyptic number.

3473344800 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 3473344800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730725456).

3473344800 is an abundant number, since it is smaller than the sum of its proper divisors (9988106112).

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

3473344800 is a wasteful number, since it uses less digits than its factorization.

3473344800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3473344800 is about 58935.0897174171. The cubic root of 3473344800 is about 1514.4303318459.

The spelling of 3473344800 in words is "three billion, four hundred seventy-three million, three hundred forty-four thousand, eight hundred".