3857940576 has 480 divisors, whose sum is σ = 14128773120. Its totient is φ = 1010568960.

The previous prime is 3857940539. The next prime is 3857940587. The reversal of 3857940576 is 6750497583.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124449681 + ... + 124449711.

It is an arithmetic number, because the mean of its divisors is an integer number (29434944).

Almost surely, 2^3857940576 is an apocalyptic number.

3857940576 is a gapful number since it is divisible by the number (36) 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 3857940576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7064386560).

3857940576 is an abundant number, since it is smaller than the sum of its proper divisors (10270832544).

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

3857940576 is an equidigital number, since it uses as much as digits as its factorization.

3857940576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 3857940576 is about 62112.3222557328. The cubic root of 3857940576 is about 1568.3819829817.

The spelling of 3857940576 in words is "three billion, eight hundred fifty-seven million, nine hundred forty thousand, five hundred seventy-six".