3857940000 has 180 divisors, whose sum is σ = 13710022326. Its totient is φ = 1028736000.

The previous prime is 3857939947. The next prime is 3857940007. The reversal of 3857940000 is 497583.

It can be written as a sum of positive squares in 5 ways, for example, as 78641424 + 3779298576 = 8868^2 + 61476^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (3857940007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 169284 + ... + 190716.

Almost surely, 2^3857940000 is an apocalyptic number.

3857940000 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 3857940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855011163).

3857940000 is an abundant number, since it is smaller than the sum of its proper divisors (9852082326).

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

3857940000 is a wasteful number, since it uses less digits than its factorization.

3857940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21469 (or 21443 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3857940000 is about 62112.3176189715. The cubic root of 3857940000 is about 1568.3819049272.

The spelling of 3857940000 in words is "three billion, eight hundred fifty-seven million, nine hundred forty thousand".