3998366400 has 336 divisors, whose sum is σ = 15126142976. Its totient is φ = 905748480.

The previous prime is 3998366399. The next prime is 3998366429. The reversal of 3998366400 is 46638993.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3998366400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4266732 + ... + 4267668.

Almost surely, 2^3998366400 is an apocalyptic number.

3998366400 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 3998366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7563071488).

3998366400 is an abundant number, since it is smaller than the sum of its proper divisors (11127776576).

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

3998366400 is a wasteful number, since it uses less digits than its factorization.

3998366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 3998366400 is about 63232.6371425390. The cubic root of 3998366400 is about 1587.1849243468.

The spelling of 3998366400 in words is "three billion, nine hundred ninety-eight million, three hundred sixty-six thousand, four hundred".