3541326624 has 144 divisors (see below), whose sum is σ = 11006966880. Its totient is φ = 1071098880.

The previous prime is 3541326587. The next prime is 3541326631. The reversal of 3541326624 is 4266231453.

3541326624 is a `hidden beast` number, since 3 + 5 + 4 + 1 + 3 + 26 + 624 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3227644 + ... + 3228740.

It is an arithmetic number, because the mean of its divisors is an integer number (76437270).

Almost surely, 2^3541326624 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 3541326624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503483440).

3541326624 is an abundant number, since it is smaller than the sum of its proper divisors (7465640256).

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

3541326624 is a wasteful number, since it uses less digits than its factorization.

3541326624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2132 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3541326624 is about 59509.0465727691. The cubic root of 3541326624 is about 1524.2469271499.

The spelling of 3541326624 in words is "three billion, five hundred forty-one million, three hundred twenty-six thousand, six hundred twenty-four".