3998840832 has 192 divisors, whose sum is σ = 13539052800. Its totient is φ = 1142415360.

The previous prime is 3998840819. The next prime is 3998840837. The reversal of 3998840832 is 2380488993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3998840837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381907 + ... + 392237.

It is an arithmetic number, because the mean of its divisors is an integer number (70515900).

Almost surely, 2^3998840832 is an apocalyptic number.

3998840832 is a gapful number since it is divisible by the number (32) 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 3998840832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769526400).

3998840832 is an abundant number, since it is smaller than the sum of its proper divisors (9540211968).

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

3998840832 is a wasteful number, since it uses less digits than its factorization.

3998840832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10369 (or 10343 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 3998840832 is about 63236.3885116789. The cubic root of 3998840832 is about 1587.2476984452.

The spelling of 3998840832 in words is "three billion, nine hundred ninety-eight million, eight hundred forty thousand, eight hundred thirty-two".