3827367936 has 340 divisors, whose sum is σ = 13195179712. Its totient is φ = 1082916864.

The previous prime is 3827367931. The next prime is 3827367953. The reversal of 3827367936 is 6397637283.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3827367931) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37158861 + ... + 37158963.

Almost surely, 2^3827367936 is an apocalyptic number.

3827367936 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 3827367936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6597589856).

3827367936 is an abundant number, since it is smaller than the sum of its proper divisors (9367811776).

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

3827367936 is an frugal number, since it uses more digits than its factorization.

3827367936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 115 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The square root of 3827367936 is about 61865.7250503055. The cubic root of 3827367936 is about 1564.2280570015.

The spelling of 3827367936 in words is "three billion, eight hundred twenty-seven million, three hundred sixty-seven thousand, nine hundred thirty-six".