3857917140 has 768 divisors, whose sum is σ = 16040263680. Its totient is φ = 746496000.

The previous prime is 3857917139. The next prime is 3857917157. The reversal of 3857917140 is 417197583.

3857917140 is a `hidden beast` number, since 3 + 8 + 579 + 1 + 71 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 52848144 + ... + 52848216.

It is an arithmetic number, because the mean of its divisors is an integer number (20885760).

Almost surely, 2^3857917140 is an apocalyptic number.

3857917140 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 3857917140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020131840).

3857917140 is an abundant number, since it is smaller than the sum of its proper divisors (12182346540).

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

3857917140 is a wasteful number, since it uses less digits than its factorization.

3857917140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 3857917140 is about 62112.1335972288. The cubic root of 3857917140 is about 1568.3788071357.

The spelling of 3857917140 in words is "three billion, eight hundred fifty-seven million, nine hundred seventeen thousand, one hundred forty".