3979866240 has 576 divisors, whose sum is σ = 16325712000. Its totient is φ = 890523648.

The previous prime is 3979866239. The next prime is 3979866251. The reversal of 3979866240 is 426689793.

It is a happy number.

3979866240 is a `hidden beast` number, since 3 + 9 + 7 + 9 + 8 + 6 + 624 + 0 = 666.

3979866240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×3979866240³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16652041 + ... + 16652279.

It is an arithmetic number, because the mean of its divisors is an integer number (28343250).

Almost surely, 2^3979866240 is an apocalyptic number.

3979866240 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 3979866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8162856000).

3979866240 is an abundant number, since it is smaller than the sum of its proper divisors (12345845760).

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

3979866240 is a wasteful number, since it uses less digits than its factorization.

3979866240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3979866240 is about 63086.1810541738. The cubic root of 3979866240 is about 1584.7332081545.

The spelling of 3979866240 in words is "three billion, nine hundred seventy-nine million, eight hundred sixty-six thousand, two hundred forty".