3818542560 has 288 divisors, whose sum is σ = 14085912960. Its totient is φ = 866976768.

The previous prime is 3818542529. The next prime is 3818542577. The reversal of 3818542560 is 652458183.

3818542560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4209627 + ... + 4210533.

It is an arithmetic number, because the mean of its divisors is an integer number (48909420).

Almost surely, 2^3818542560 is an apocalyptic number.

3818542560 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 3818542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7042956480).

3818542560 is an abundant number, since it is smaller than the sum of its proper divisors (10267370400).

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

3818542560 is a wasteful number, since it uses less digits than its factorization.

3818542560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 3818542560 is about 61794.3570239225. The cubic root of 3818542560 is about 1563.0248345501.

The spelling of 3818542560 in words is "three billion, eight hundred eighteen million, five hundred forty-two thousand, five hundred sixty".