3538114560 has 384 divisors, whose sum is σ = 12831436800. Its totient is φ = 924549120.

The previous prime is 3538114523. The next prime is 3538114561. The reversal of 3538114560 is 654118353.

3538114560 is a `hidden beast` number, since 3 + 5 + 3 + 81 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (3538114561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18524065 + ... + 18524255.

It is an arithmetic number, because the mean of its divisors is an integer number (33415200).

Almost surely, 2^3538114560 is an apocalyptic number.

3538114560 is a gapful number since it is divisible by the number (30) 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 3538114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415718400).

3538114560 is an abundant number, since it is smaller than the sum of its proper divisors (9293322240).

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

3538114560 is a wasteful number, since it uses less digits than its factorization.

3538114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3538114560 is about 59482.0524191962. The cubic root of 3538114560 is about 1523.7859455082.

The spelling of 3538114560 in words is "three billion, five hundred thirty-eight million, one hundred fourteen thousand, five hundred sixty".