3827994240 has 256 divisors, whose sum is σ = 14009610240. Its totient is φ = 870912000.

The previous prime is 3827994133. The next prime is 3827994241. The reversal of 3827994240 is 424997283.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3827994240.

It is not an unprimeable number, because it can be changed into a prime (3827994241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3641715 + ... + 3642765.

It is an arithmetic number, because the mean of its divisors is an integer number (54725040).

Almost surely, 2^3827994240 is an apocalyptic number.

3827994240 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 3827994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7004805120).

3827994240 is an abundant number, since it is smaller than the sum of its proper divisors (10181616000).

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

3827994240 is a wasteful number, since it uses less digits than its factorization.

3827994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3827994240 is about 61870.7866444253. The cubic root of 3827994240 is about 1564.3133748903.

The spelling of 3827994240 in words is "three billion, eight hundred twenty-seven million, nine hundred ninety-four thousand, two hundred forty".