3886898400 has 1440 divisors, whose sum is σ = 19056280320. Its totient is φ = 746496000.

The previous prime is 3886898357. The next prime is 3886898417. The reversal of 3886898400 is 48986883.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 94802380 + ... + 94802420.

It is an arithmetic number, because the mean of its divisors is an integer number (13233528).

Almost surely, 2^3886898400 is an apocalyptic number.

3886898400 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 3886898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9528140160).

3886898400 is an abundant number, since it is smaller than the sum of its proper divisors (15169381920).

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

3886898400 is a wasteful number, since it uses less digits than its factorization.

3886898400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 3886898400 is about 62344.9949875690. The cubic root of 3886898400 is about 1572.2963138183.

The spelling of 3886898400 in words is "three billion, eight hundred eighty-six million, eight hundred ninety-eight thousand, four hundred".