3453120384 has 128 divisors (see below), whose sum is σ = 10501920000. Its totient is φ = 984797184.

The previous prime is 3453120379. The next prime is 3453120389. The reversal of 3453120384 is 4830213543.

3453120384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3453120379) and next prime (3453120389).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3453120389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2302867 + ... + 2304365.

It is an arithmetic number, because the mean of its divisors is an integer number (82046250).

Almost surely, 2^3453120384 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 3453120384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5250960000).

3453120384 is an abundant number, since it is smaller than the sum of its proper divisors (7048799616).

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

3453120384 is a wasteful number, since it uses less digits than its factorization.

3453120384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 3453120384 is about 58763.2570914853. The cubic root of 3453120384 is about 1511.4852255048.

The spelling of 3453120384 in words is "three billion, four hundred fifty-three million, one hundred twenty thousand, three hundred eighty-four".