13834440 has 96 divisors (see below), whose sum is σ = 45601920. Its totient is φ = 3636864.

The previous prime is 13834439. The next prime is 13834441. The reversal of 13834440 is 4443831.

It is an interprime number because it is at equal distance from previous prime (13834439) and next prime (13834441).

It is a super-2 number, since 2×13834440² = 382783460227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13834441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29649 + ... + 30111.

It is an arithmetic number, because the mean of its divisors is an integer number (475020).

Almost surely, 2^13834440 is an apocalyptic number.

13834440 is a gapful number since it is divisible by the number (10) 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 13834440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22800960).

13834440 is an abundant number, since it is smaller than the sum of its proper divisors (31767480).

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

13834440 is a wasteful number, since it uses less digits than its factorization.

13834440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 13834440 is about 3719.4677038523. The cubic root of 13834440 is about 240.0604014640.

It can be divided in two parts, 138344 and 40, that added together give a square (138384 = 372²).

The spelling of 13834440 in words is "thirteen million, eight hundred thirty-four thousand, four hundred forty".