3453741072 has 80 divisors (see below), whose sum is σ = 9950434560. Its totient is φ = 1146960000.

The previous prime is 3453741041. The next prime is 3453741073. The reversal of 3453741072 is 2701473543.

3453741072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3453741073) 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, 102322 + ... + 131822.

It is an arithmetic number, because the mean of its divisors is an integer number (124380432).

Almost surely, 2^3453741072 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 3453741072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975217280).

3453741072 is an abundant number, since it is smaller than the sum of its proper divisors (6496693488).

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

3453741072 is a wasteful number, since it uses less digits than its factorization.

3453741072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29789 (or 29777 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 3453741072 is about 58768.5381135178. The cubic root of 3453741072 is about 1511.5757817199.

The spelling of 3453741072 in words is "three billion, four hundred fifty-three million, seven hundred forty-one thousand, seventy-two".