3827991150 has 288 divisors, whose sum is σ = 11582258688. Its totient is φ = 936230400.

The previous prime is 3827991137. The next prime is 3827991151. The reversal of 3827991150 is 511997283.

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

It is a junction number, because it is equal to n+sod(n) for n = 3827991096 and 3827991105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3827991151) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8881435 + ... + 8881865.

It is an arithmetic number, because the mean of its divisors is an integer number (40216176).

Almost surely, 2^3827991150 is an apocalyptic number.

3827991150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3827991150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791129344).

3827991150 is an abundant number, since it is smaller than the sum of its proper divisors (7754267538).

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

3827991150 is a wasteful number, since it uses less digits than its factorization.

3827991150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 3827991150 is about 61870.7616730229. The cubic root of 3827991150 is about 1564.3129539797.

The spelling of 3827991150 in words is "three billion, eight hundred twenty-seven million, nine hundred ninety-one thousand, one hundred fifty".