3450009024 has 672 divisors, whose sum is σ = 13278160896. Its totient is φ = 862202880.

The previous prime is 3450009023. The next prime is 3450009061. The reversal of 3450009024 is 4209000543.

3450009024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3450009023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51492639 + ... + 51492705.

It is an arithmetic number, because the mean of its divisors is an integer number (19759168).

Almost surely, 2^3450009024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3450009024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639080448).

3450009024 is an abundant number, since it is smaller than the sum of its proper divisors (9828151872).

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

3450009024 is a wasteful number, since it uses less digits than its factorization.

3450009024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3450009024 is about 58736.7774396928. Note that the first 3 decimals coincide. The cubic root of 3450009024 is about 1511.0311253190.

Adding to 3450009024 its reverse (4209000543), we get a palindrome (7659009567).

The spelling of 3450009024 in words is "three billion, four hundred fifty million, nine thousand, twenty-four".