3981704040 has 160 divisors (see below), whose sum is σ = 13429896480. Its totient is φ = 1058064768.

The previous prime is 3981704003. The next prime is 3981704101. The reversal of 3981704040 is 404071893.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3981703986 and 3981704004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 992679 + ... + 996681.

It is an arithmetic number, because the mean of its divisors is an integer number (83936853).

Almost surely, 2^3981704040 is an apocalyptic number.

3981704040 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 3981704040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6714948240).

3981704040 is an abundant number, since it is smaller than the sum of its proper divisors (9448192440).

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

3981704040 is a wasteful number, since it uses less digits than its factorization.

3981704040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3981704040 is about 63100.7451620026. The cubic root of 3981704040 is about 1584.9771003137.

The spelling of 3981704040 in words is "three billion, nine hundred eighty-one million, seven hundred four thousand, forty".