3827503680 has 672 divisors, whose sum is σ = 16636959360. Its totient is φ = 732856320.

The previous prime is 3827503679. The next prime is 3827503711. The reversal of 3827503680 is 863057283.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6726436 + ... + 6727004.

It is an arithmetic number, because the mean of its divisors is an integer number (24757380).

Almost surely, 2^3827503680 is an apocalyptic number.

3827503680 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 3827503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8318479680).

3827503680 is an abundant number, since it is smaller than the sum of its proper divisors (12809455680).

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

3827503680 is a wasteful number, since it uses less digits than its factorization.

3827503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 3827503680 is about 61866.8221262415. The cubic root of 3827503680 is about 1564.2465494369.

The spelling of 3827503680 in words is "three billion, eight hundred twenty-seven million, five hundred three thousand, six hundred eighty".