3869798400 has 936 divisors, whose sum is σ = 16636903920. Its totient is φ = 849346560.

The previous prime is 3869798399. The next prime is 3869798431. The reversal of 3869798400 is 48979683.

It is a tau number, because it is divible by the number of its divisors (936).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 203673591 + ... + 203673609.

It is an arithmetic number, because the mean of its divisors is an integer number (17774470).

Almost surely, 2^3869798400 is an apocalyptic number.

3869798400 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 3869798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8318451960).

3869798400 is an abundant number, since it is smaller than the sum of its proper divisors (12767105520).

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

3869798400 is a wasteful number, since it uses less digits than its factorization.

3869798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

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

The square root of 3869798400 is about 62207.7037029981. The cubic root of 3869798400 is about 1569.9872069495.

The spelling of 3869798400 in words is "three billion, eight hundred sixty-nine million, seven hundred ninety-eight thousand, four hundred".