3991827840 has 1024 divisors, whose sum is σ = 17898209280. Its totient is φ = 729907200.

The previous prime is 3991827823. The next prime is 3991827869. The reversal of 3991827840 is 487281993.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59579487 + ... + 59579553.

It is an arithmetic number, because the mean of its divisors is an integer number (17478720).

Almost surely, 2^3991827840 is an apocalyptic number.

3991827840 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 3991827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8949104640).

3991827840 is an abundant number, since it is smaller than the sum of its proper divisors (13906381440).

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

3991827840 is a wasteful number, since it uses less digits than its factorization.

3991827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 3991827840 is about 63180.9135736418. The cubic root of 3991827840 is about 1586.3192736462.

The spelling of 3991827840 in words is "three billion, nine hundred ninety-one million, eight hundred twenty-seven thousand, eight hundred forty".