3538409472 has 144 divisors (see below), whose sum is σ = 11006442720. Its totient is φ = 1088667648.

The previous prime is 3538409467. The next prime is 3538409473. The reversal of 3538409472 is 2749048353.

3538409472 is a `hidden beast` number, since 3 + 538 + 40 + 9 + 4 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3538409473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232233 + ... + 246999.

It is an arithmetic number, because the mean of its divisors is an integer number (76433630).

Almost surely, 2^3538409472 is an apocalyptic number.

3538409472 is a gapful number since it is divisible by the number (32) 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 3538409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503221360).

3538409472 is an abundant number, since it is smaller than the sum of its proper divisors (7468033248).

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

3538409472 is a wasteful number, since it uses less digits than its factorization.

3538409472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14808 (or 14785 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3538409472 is about 59484.5313674068. The cubic root of 3538409472 is about 1523.8282816421.

The spelling of 3538409472 in words is "three billion, five hundred thirty-eight million, four hundred nine thousand, four hundred seventy-two".