3982829760 has 756 divisors, whose sum is σ = 17359353648. Its totient is φ = 835301376.

The previous prime is 3982829759. The next prime is 3982829771. The reversal of 3982829760 is 679282893.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3982829697 and 3982829706.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23849197 + ... + 23849363.

It is an arithmetic number, because the mean of its divisors is an integer number (22962108).

Almost surely, 2^3982829760 is an apocalyptic number.

3982829760 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 3982829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8679676824).

3982829760 is an abundant number, since it is smaller than the sum of its proper divisors (13376523888).

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

3982829760 is a wasteful number, since it uses less digits than its factorization.

3982829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3982829760 is about 63109.6645530619. The cubic root of 3982829760 is about 1585.1264561574.

The spelling of 3982829760 in words is "three billion, nine hundred eighty-two million, eight hundred twenty-nine thousand, seven hundred sixty".