3818984400 has 720 divisors, whose sum is σ = 17270323200. Its totient is φ = 757785600.

The previous prime is 3818984387. The next prime is 3818984417. The reversal of 3818984400 is 44898183.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6375301 + ... + 6375899.

It is an arithmetic number, because the mean of its divisors is an integer number (23986560).

Almost surely, 2^3818984400 is an apocalyptic number.

3818984400 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 3818984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8635161600).

3818984400 is an abundant number, since it is smaller than the sum of its proper divisors (13451338800).

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

3818984400 is a wasteful number, since it uses less digits than its factorization.

3818984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3818984400 is about 61797.9320042346. The cubic root of 3818984400 is about 1563.0851176072.

The spelling of 3818984400 in words is "three billion, eight hundred eighteen million, nine hundred eighty-four thousand, four hundred".