3827949840 has 800 divisors, whose sum is σ = 16606187136. Its totient is φ = 806215680.

The previous prime is 3827949809. The next prime is 3827949889. The reversal of 3827949840 is 489497283.

3827949840 is a `hidden beast` number, since 3 + 82 + 79 + 498 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 225173512 + ... + 225173528.

Almost surely, 2^3827949840 is an apocalyptic number.

3827949840 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 3827949840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303093568).

3827949840 is an abundant number, since it is smaller than the sum of its proper divisors (12778237296).

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

3827949840 is a wasteful number, since it uses less digits than its factorization.

3827949840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3827949840 is about 61870.4278310729. The cubic root of 3827949840 is about 1564.3073268333.

The spelling of 3827949840 in words is "three billion, eight hundred twenty-seven million, nine hundred forty-nine thousand, eight hundred forty".