3453824160 has 144 divisors (see below), whose sum is σ = 11862022536. Its totient is φ = 915093504.

The previous prime is 3453824149. The next prime is 3453824177. The reversal of 3453824160 is 614283543.

3453824160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1609293456 + 1844530704 = 40116^2 + 42948^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218442 + ... + 233718.

Almost surely, 2^3453824160 is an apocalyptic number.

3453824160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3453824160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5931011268).

3453824160 is an abundant number, since it is smaller than the sum of its proper divisors (8408198376).

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

3453824160 is a wasteful number, since it uses less digits than its factorization.

3453824160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15455 (or 15444 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3453824160 is about 58769.2450181215. The cubic root of 3453824160 is about 1511.5879031460.

The spelling of 3453824160 in words is "three billion, four hundred fifty-three million, eight hundred twenty-four thousand, one hundred sixty".