3450009600 has 216 divisors, whose sum is σ = 12357334080. Its totient is φ = 919879680.

The previous prime is 3450009593. The next prime is 3450009659. The reversal of 3450009600 is 69000543.

It is a happy number.

3450009600 is a `hidden beast` number, since 3 + 4 + 50 + 0 + 0 + 9 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 457057 + ... + 464543.

It is an arithmetic number, because the mean of its divisors is an integer number (57209880).

Almost surely, 2^3450009600 is an apocalyptic number.

3450009600 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 3450009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6178667040).

3450009600 is an abundant number, since it is smaller than the sum of its proper divisors (8907324480).

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

3450009600 is a wasteful number, since it uses less digits than its factorization.

3450009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7525 (or 7497 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3450009600 is about 58736.7823429238. The cubic root of 3450009600 is about 1511.0312094110.

The spelling of 3450009600 in words is "three billion, four hundred fifty million, nine thousand, six hundred".