3165541632 has 432 divisors, whose sum is σ = 10618171200. Its totient is φ = 898007040.

The previous prime is 3165541619. The next prime is 3165541633. The reversal of 3165541632 is 2361455613.

3165541632 is a `hidden beast` number, since 3 + 16 + 5 + 5 + 4 + 1 + 632 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3165541633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43363548 + ... + 43363620.

It is an arithmetic number, because the mean of its divisors is an integer number (24579100).

Almost surely, 2^3165541632 is an apocalyptic number.

3165541632 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 3165541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5309085600).

3165541632 is an abundant number, since it is smaller than the sum of its proper divisors (7452629568).

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

3165541632 is a wasteful number, since it uses less digits than its factorization.

3165541632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 3165541632 is about 56263.1463037751. The cubic root of 3165541632 is about 1468.3040944817.

The spelling of 3165541632 in words is "three billion, one hundred sixty-five million, five hundred forty-one thousand, six hundred thirty-two".