3786259840 has 128 divisors (see below), whose sum is σ = 10085368320. Its totient is φ = 1347409920.

The previous prime is 3786259837. The next prime is 3786259843. The reversal of 3786259840 is 489526873.

3786259840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3786259837) and next prime (3786259843).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3786259843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325159 + ... + 336601.

It is an arithmetic number, because the mean of its divisors is an integer number (78791940).

Almost surely, 2^3786259840 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 3786259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042684160).

3786259840 is an abundant number, since it is smaller than the sum of its proper divisors (6299108480).

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

3786259840 is a wasteful number, since it uses less digits than its factorization.

3786259840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11520 (or 11508 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The square root of 3786259840 is about 61532.5916892828. The cubic root of 3786259840 is about 1558.6076553173.

The spelling of 3786259840 in words is "three billion, seven hundred eighty-six million, two hundred fifty-nine thousand, eight hundred forty".