3850104960 has 640 divisors, whose sum is σ = 15395410800. Its totient is φ = 910393344.

The previous prime is 3850104953. The next prime is 3850104961. The reversal of 3850104960 is 694010583.

3850104960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2183505984 + 1666598976 = 46728^2 + 40824^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3850104961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19543582 + ... + 19543778.

Almost surely, 2^3850104960 is an apocalyptic number.

3850104960 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 3850104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7697705400).

3850104960 is an abundant number, since it is smaller than the sum of its proper divisors (11545305840).

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

3850104960 is a wasteful number, since it uses less digits than its factorization.

3850104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3850104960 is about 62049.2140159728. The cubic root of 3850104960 is about 1567.3194499125.

The spelling of 3850104960 in words is "three billion, eight hundred fifty million, one hundred four thousand, nine hundred sixty".