3998498400 has 216 divisors, whose sum is σ = 15184653120. Its totient is φ = 984222720.

The previous prime is 3998498369. The next prime is 3998498407. The reversal of 3998498400 is 48948993.

3998498400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3998498407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72241 + ... + 114959.

It is an arithmetic number, because the mean of its divisors is an integer number (70299320).

Almost surely, 2^3998498400 is an apocalyptic number.

3998498400 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 3998498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7592326560).

3998498400 is an abundant number, since it is smaller than the sum of its proper divisors (11186154720).

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

3998498400 is a wasteful number, since it uses less digits than its factorization.

3998498400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42758 (or 42742 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 3998498400 is about 63233.6808987109. The cubic root of 3998498400 is about 1587.2023903220.

It can be divided in two parts, 39984 and 98400, that added together give a square (138384 = 372²).

The spelling of 3998498400 in words is "three billion, nine hundred ninety-eight million, four hundred ninety-eight thousand, four hundred".