3870583416 has 96 divisors (see below), whose sum is σ = 11993436000. Its totient is φ = 1104675840.

The previous prime is 3870583411. The next prime is 3870583427. The reversal of 3870583416 is 6143850783.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3870583411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 525036 + ... + 532356.

It is an arithmetic number, because the mean of its divisors is an integer number (124931625).

Almost surely, 2^3870583416 is an apocalyptic number.

3870583416 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 3870583416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996718000).

3870583416 is an abundant number, since it is smaller than the sum of its proper divisors (8122852584).

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

3870583416 is a wasteful number, since it uses less digits than its factorization.

3870583416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8389 (or 8382 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3870583416 is about 62214.0130195762. The cubic root of 3870583416 is about 1570.0933607781.

The spelling of 3870583416 in words is "three billion, eight hundred seventy million, five hundred eighty-three thousand, four hundred sixteen".