3541114368 has 480 divisors, whose sum is σ = 12082039200. Its totient is φ = 1021870080.

The previous prime is 3541114361. The next prime is 3541114391. The reversal of 3541114368 is 8634111453.

3541114368 is a `hidden beast` number, since 3 + 541 + 11 + 43 + 68 = 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 (3541114361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48508380 + ... + 48508452.

It is an arithmetic number, because the mean of its divisors is an integer number (25170915).

Almost surely, 2^3541114368 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 3541114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041019600).

3541114368 is an abundant number, since it is smaller than the sum of its proper divisors (8540924832).

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

3541114368 is a wasteful number, since it uses less digits than its factorization.

3541114368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 3541114368 is about 59507.2631533328. The cubic root of 3541114368 is about 1524.2164736830.

The spelling of 3541114368 in words is "three billion, five hundred forty-one million, one hundred fourteen thousand, three hundred sixty-eight".