3857001984 has 240 divisors, whose sum is σ = 12409562880. Its totient is φ = 1143214080.

The previous prime is 3857001983. The next prime is 3857001991. The reversal of 3857001984 is 4891007583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3857001983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2381527 + ... + 2383145.

It is an arithmetic number, because the mean of its divisors is an integer number (51706512).

Almost surely, 2^3857001984 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 3857001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6204781440).

3857001984 is an abundant number, since it is smaller than the sum of its proper divisors (8552560896).

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

3857001984 is a wasteful number, since it uses less digits than its factorization.

3857001984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3857001984 is about 62104.7661939082. The cubic root of 3857001984 is about 1568.2547829770.

The spelling of 3857001984 in words is "three billion, eight hundred fifty-seven million, one thousand, nine hundred eighty-four".