3431341440 has 160 divisors (see below), whose sum is σ = 12254124960. Its totient is φ = 915010560.

The previous prime is 3431341343. The next prime is 3431341453. The reversal of 3431341440 is 441431343.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×3431341440² = 23548208155722547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18745 + ... + 84935.

It is an arithmetic number, because the mean of its divisors is an integer number (76588281).

Almost surely, 2^3431341440 is an apocalyptic number.

3431341440 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 3431341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6127062480).

3431341440 is an abundant number, since it is smaller than the sum of its proper divisors (8822783520).

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

3431341440 is an equidigital number, since it uses as much as digits as its factorization.

3431341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66222 (or 66201 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3431341440 is about 58577.6530769200. The cubic root of 3431341440 is about 1508.3008590901.

Adding to 3431341440 its reverse (441431343), we get a palindrome (3872772783).

The spelling of 3431341440 in words is "three billion, four hundred thirty-one million, three hundred forty-one thousand, four hundred forty".