3538851840 has 576 divisors, whose sum is σ = 13491878400. Its totient is φ = 854654976.

The previous prime is 3538851839. The next prime is 3538851851. The reversal of 3538851840 is 481588353.

3538851840 is a `hidden beast` number, since 3 + 53 + 88 + 518 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 75294697 + ... + 75294743.

It is an arithmetic number, because the mean of its divisors is an integer number (23423400).

Almost surely, 2^3538851840 is an apocalyptic number.

3538851840 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 3538851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6745939200).

3538851840 is an abundant number, since it is smaller than the sum of its proper divisors (9953026560).

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

3538851840 is a wasteful number, since it uses less digits than its factorization.

3538851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 3538851840 is about 59488.2495960337. The cubic root of 3538851840 is about 1523.8917814325.

The spelling of 3538851840 in words is "three billion, five hundred thirty-eight million, eight hundred fifty-one thousand, eight hundred forty".