3968250 has 128 divisors (see below), whose sum is σ = 11950848. Its totient is φ = 864000.

The previous prime is 3968231. The next prime is 3968291. The reversal of 3968250 is 528693.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107232 + ... + 107268.

It is an arithmetic number, because the mean of its divisors is an integer number (93366).

Almost surely, 2^3968250 is an apocalyptic number.

3968250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3968250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975424).

3968250 is an abundant number, since it is smaller than the sum of its proper divisors (7982598).

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

3968250 is a wasteful number, since it uses less digits than its factorization.

3968250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3968250 is about 1992.0466861999. The cubic root of 3968250 is about 158.3189891591.

It can be divided in two parts, 396 and 8250, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 3968250 in words is "three million, nine hundred sixty-eight thousand, two hundred fifty".