3974782720 has 288 divisors, whose sum is σ = 10569605760. Its totient is φ = 1427374080.

The previous prime is 3974782703. The next prime is 3974782727. The reversal of 3974782720 is 272874793.

3974782720 = T₁₃₉₀₄ + T₁₃₉₀₅ + ... + T₁₃₉₄₄.

3974782720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3974782727) 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, 44660436 + ... + 44660524.

It is an arithmetic number, because the mean of its divisors is an integer number (36700020).

Almost surely, 2^3974782720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3974782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284802880).

3974782720 is an abundant number, since it is smaller than the sum of its proper divisors (6594823040).

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

3974782720 is a wasteful number, since it uses less digits than its factorization.

3974782720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 49.

The square root of 3974782720 is about 63045.8778985589. The cubic root of 3974782720 is about 1584.0581892034.

The spelling of 3974782720 in words is "three billion, nine hundred seventy-four million, seven hundred eighty-two thousand, seven hundred twenty".