3984809010 has 256 divisors, whose sum is σ = 13121740800. Its totient is φ = 749481984.

The previous prime is 3984809009. The next prime is 3984809033. The reversal of 3984809010 is 109084893.

3984809010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 879531 + ... + 884049.

It is an arithmetic number, because the mean of its divisors is an integer number (51256800).

Almost surely, 2^3984809010 is an apocalyptic number.

3984809010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3984809010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6560870400).

3984809010 is an abundant number, since it is smaller than the sum of its proper divisors (9136931790).

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

3984809010 is a wasteful number, since it uses less digits than its factorization.

3984809010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585.

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 3984809010 is about 63125.3436426290. The cubic root of 3984809010 is about 1585.3889865835.

The spelling of 3984809010 in words is "three billion, nine hundred eighty-four million, eight hundred nine thousand, ten".