3412704000 has 288 divisors, whose sum is σ = 11938268160. Its totient is φ = 861696000.

The previous prime is 3412703993. The next prime is 3412704011. The reversal of 3412704000 is 4072143.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1823065 + ... + 1824935.

It is an arithmetic number, because the mean of its divisors is an integer number (41452320).

Almost surely, 2^3412704000 is an apocalyptic number.

3412704000 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 3412704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969134080).

3412704000 is an abundant number, since it is smaller than the sum of its proper divisors (8525564160).

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

3412704000 is a wasteful number, since it uses less digits than its factorization.

3412704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 3412704000 is about 58418.3532804546. The cubic root of 3412704000 is about 1505.5651053125.

Adding to 3412704000 its reverse (4072143), we get a palindrome (3416776143).

The spelling of 3412704000 in words is "three billion, four hundred twelve million, seven hundred four thousand".