3541035564 has 144 divisors (see below), whose sum is σ = 10266197760. Its totient is φ = 1018638720.

The previous prime is 3541035551. The next prime is 3541035581. The reversal of 3541035564 is 4655301453.

3541035564 is a `hidden beast` number, since 3 + 54 + 10 + 35 + 564 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1264614 + ... + 1267410.

It is an arithmetic number, because the mean of its divisors is an integer number (71293040).

Almost surely, 2^3541035564 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 3541035564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133098880).

3541035564 is an abundant number, since it is smaller than the sum of its proper divisors (6725162196).

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

3541035564 is a wasteful number, since it uses less digits than its factorization.

3541035564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 3541035564 is about 59506.6010119886. The cubic root of 3541035564 is about 1524.2051669554.

The spelling of 3541035564 in words is "three billion, five hundred forty-one million, thirty-five thousand, five hundred sixty-four".