3261400 has 48 divisors (see below), whose sum is σ = 7923600. Its totient is φ = 1246080.

The previous prime is 3261397. The next prime is 3261403. The reversal of 3261400 is 41623.

3261400 = T₅₂₁ + T₅₂₂ + ... + T₅₄₃.

3261400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3261397) and next prime (3261403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3261403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4246 + ... + 4954.

It is an arithmetic number, because the mean of its divisors is an integer number (165075).

Almost surely, 2^3261400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961800).

3261400 is an abundant number, since it is smaller than the sum of its proper divisors (4662200).

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

3261400 is a wasteful number, since it uses less digits than its factorization.

3261400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3261400 is about 1805.9346610550. The cubic root of 3261400 is about 148.2977933904.

The spelling of 3261400 in words is "three million, two hundred sixty-one thousand, four hundred".