3453710624 has 96 divisors (see below), whose sum is σ = 8475102720. Its totient is φ = 1348918272.

The previous prime is 3453710609. The next prime is 3453710629. The reversal of 3453710624 is 4260173543.

3453710624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3453710629) 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, 222542 + ... + 237554.

It is an arithmetic number, because the mean of its divisors is an integer number (88282320).

Almost surely, 2^3453710624 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 3453710624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237551360).

3453710624 is an abundant number, since it is smaller than the sum of its proper divisors (5021392096).

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

3453710624 is a wasteful number, since it uses less digits than its factorization.

3453710624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15122 (or 15114 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 3453710624 is about 58768.2790627733. The cubic root of 3453710624 is about 1511.5713397159.

The spelling of 3453710624 in words is "three billion, four hundred fifty-three million, seven hundred ten thousand, six hundred twenty-four".