3541516160 has 512 divisors, whose sum is σ = 11412576000. Its totient is φ = 1040449536.

The previous prime is 3541516157. The next prime is 3541516243. The reversal of 3541516160 is 616151453.

3541516160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3541516160² = 25084673423082291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48513884 + ... + 48513956.

Almost surely, 2^3541516160 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 3541516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706288000).

3541516160 is an abundant number, since it is smaller than the sum of its proper divisors (7871059840).

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

3541516160 is a wasteful number, since it uses less digits than its factorization.

3541516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 3541516160 is about 59510.6390488289. The cubic root of 3541516160 is about 1524.2741198324.

The spelling of 3541516160 in words is "three billion, five hundred forty-one million, five hundred sixteen thousand, one hundred sixty".