3921400 has 48 divisors (see below), whose sum is σ = 10423440. Its totient is φ = 1344000.

The previous prime is 3921383. The next prime is 3921413. The reversal of 3921400 is 41293.

3921400 is a nontrivial binomial coefficient, being equal to C(2801, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1 + ... + 2800.

It is an arithmetic number, because the mean of its divisors is an integer number (217155).

Almost surely, 2^3921400 is an apocalyptic number.

3921400 is the 2800-th triangular number.

3921400 is the 934-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3921400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211720).

3921400 is an abundant number, since it is smaller than the sum of its proper divisors (6502040).

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

3921400 is a wasteful number, since it uses less digits than its factorization.

3921400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 3921400 is about 1980.2525091513. The cubic root of 3921400 is about 157.6934718259.

Adding to 3921400 its reverse (41293), we get a palindrome (3962693).

It can be divided in two parts, 3 and 921400, that added together give a triangular number (921403 = T₁₃₅₇).

The spelling of 3921400 in words is "three million, nine hundred twenty-one thousand, four hundred".