3998786400 has 576 divisors, whose sum is σ = 16873920000. Its totient is φ = 894965760.

The previous prime is 3998786383. The next prime is 3998786437. The reversal of 3998786400 is 46878993.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8013351 + ... + 8013849.

It is an arithmetic number, because the mean of its divisors is an integer number (29295000).

Almost surely, 2^3998786400 is an apocalyptic number.

3998786400 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 3998786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960000).

3998786400 is an abundant number, since it is smaller than the sum of its proper divisors (12875133600).

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

3998786400 is a wasteful number, since it uses less digits than its factorization.

3998786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 569 counting only the distinct ones).

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

The square root of 3998786400 is about 63235.9581251047. The cubic root of 3998786400 is about 1587.2404965699.

The spelling of 3998786400 in words is "three billion, nine hundred ninety-eight million, seven hundred eighty-six thousand, four hundred".