3474432000 has 672 divisors, whose sum is σ = 13954384080. Its totient is φ = 825753600.

The previous prime is 3474431993. The next prime is 3474432037. The reversal of 3474432000 is 2344743.

It can be written as a sum of positive squares in 8 ways, for example, as 36864 + 3474395136 = 192^2 + 58944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119807986 + ... + 119808014.

Almost surely, 2^3474432000 is an apocalyptic number.

3474432000 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 3474432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6977192040).

3474432000 is an abundant number, since it is smaller than the sum of its proper divisors (10479952080).

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

3474432000 is a wasteful number, since it uses less digits than its factorization.

3474432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 3474432000 is about 58944.3127027536. The cubic root of 3474432000 is about 1514.5883271877.

Adding to 3474432000 its reverse (2344743), we get a palindrome (3476776743).

The spelling of 3474432000 in words is "three billion, four hundred seventy-four million, four hundred thirty-two thousand".