3834053960 has 256 divisors, whose sum is σ = 10212065280. Its totient is φ = 1282176000.

The previous prime is 3834053957. The next prime is 3834053981. The reversal of 3834053960 is 693504383.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35832227 + ... + 35832333.

It is an arithmetic number, because the mean of its divisors is an integer number (39890880).

Almost surely, 2^3834053960 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 3834053960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106032640).

3834053960 is an abundant number, since it is smaller than the sum of its proper divisors (6378011320).

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

3834053960 is a wasteful number, since it uses less digits than its factorization.

3834053960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The square root of 3834053960 is about 61919.7380485415. The cubic root of 3834053960 is about 1565.1383764384.

The spelling of 3834053960 in words is "three billion, eight hundred thirty-four million, fifty-three thousand, nine hundred sixty".