3445958784 has 128 divisors (see below), whose sum is σ = 9390919680. Its totient is φ = 1119073280.

The previous prime is 3445958759. The next prime is 3445958821. The reversal of 3445958784 is 4878595443.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7778467 + ... + 7778909.

It is an arithmetic number, because the mean of its divisors is an integer number (73366560).

Almost surely, 2^3445958784 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 3445958784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695459840).

3445958784 is an abundant number, since it is smaller than the sum of its proper divisors (5944960896).

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

3445958784 is a wasteful number, since it uses less digits than its factorization.

3445958784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 926 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 57.

The square root of 3445958784 is about 58702.2894272447. The cubic root of 3445958784 is about 1510.4395872333.

The spelling of 3445958784 in words is "three billion, four hundred forty-five million, nine hundred fifty-eight thousand, seven hundred eighty-four".