3431400 has 192 divisors, whose sum is σ = 13094400. Its totient is φ = 725760.

The previous prime is 3431377. The next prime is 3431401. The reversal of 3431400 is 41343.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3431400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79779 + ... + 79821.

It is an arithmetic number, because the mean of its divisors is an integer number (68200).

Almost surely, 2^3431400 is an apocalyptic number.

3431400 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 3431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547200).

3431400 is an abundant number, since it is smaller than the sum of its proper divisors (9663000).

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

3431400 is a wasteful number, since it uses less digits than its factorization.

3431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3431400 is about 1852.4038436583. The cubic root of 3431400 is about 150.8309439369.

Adding to 3431400 its reverse (41343), we get a palindrome (3472743).

The spelling of 3431400 in words is "three million, four hundred thirty-one thousand, four hundred".