3850406560 has 384 divisors, whose sum is σ = 12649996800. Its totient is φ = 1068318720.

The previous prime is 3850406543. The next prime is 3850406621. The reversal of 3850406560 is 656040583.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4644226 + ... + 4645054.

It is an arithmetic number, because the mean of its divisors is an integer number (32942700).

Almost surely, 2^3850406560 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 3850406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324998400).

3850406560 is an abundant number, since it is smaller than the sum of its proper divisors (8799590240).

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

3850406560 is a wasteful number, since it uses less digits than its factorization.

3850406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 3850406560 is about 62051.6442973109. The cubic root of 3850406560 is about 1567.3603744421.

The spelling of 3850406560 in words is "three billion, eight hundred fifty million, four hundred six thousand, five hundred sixty".