3978801840 has 160 divisors (see below), whose sum is σ = 13307023296. Its totient is φ = 977633280.

The previous prime is 3978801829. The next prime is 3978801889. The reversal of 3978801840 is 481088793.

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 3978801840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2922760 + ... + 2924120.

Almost surely, 2^3978801840 is an apocalyptic number.

3978801840 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 3978801840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653511648).

3978801840 is an abundant number, since it is smaller than the sum of its proper divisors (9328221456).

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

3978801840 is a wasteful number, since it uses less digits than its factorization.

3978801840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 3978801840 is about 63077.7444111630. The cubic root of 3978801840 is about 1584.5919186134.

The spelling of 3978801840 in words is "three billion, nine hundred seventy-eight million, eight hundred one thousand, eight hundred forty".