3886250400 has 216 divisors, whose sum is σ = 14212152864. Its totient is φ = 1036281600.

The previous prime is 3886250399. The next prime is 3886250441. The reversal of 3886250400 is 40526883.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 184405 + ... + 204395.

It is an arithmetic number, because the mean of its divisors is an integer number (65797004).

Almost surely, 2^3886250400 is an apocalyptic number.

3886250400 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 3886250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7106076432).

3886250400 is an abundant number, since it is smaller than the sum of its proper divisors (10325902464).

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

3886250400 is a wasteful number, since it uses less digits than its factorization.

3886250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20026 (or 20001 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3886250400 is about 62339.7978822518. The cubic root of 3886250400 is about 1572.2089344110.

The spelling of 3886250400 in words is "three billion, eight hundred eighty-six million, two hundred fifty thousand, four hundred".