3869834400 has 288 divisors, whose sum is σ = 14147844480. Its totient is φ = 1020764160.

The previous prime is 3869834369. The next prime is 3869834401. The reversal of 3869834400 is 44389683.

3869834400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3869834401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2094277 + ... + 2096123.

It is an arithmetic number, because the mean of its divisors is an integer number (49124460).

Almost surely, 2^3869834400 is an apocalyptic number.

3869834400 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 3869834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7073922240).

3869834400 is an abundant number, since it is smaller than the sum of its proper divisors (10278010080).

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

3869834400 is a wasteful number, since it uses less digits than its factorization.

3869834400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3869834400 is about 62207.9930555552. The cubic root of 3869834400 is about 1569.9920753654.

The spelling of 3869834400 in words is "three billion, eight hundred sixty-nine million, eight hundred thirty-four thousand, four hundred".