1338460340 has 96 divisors (see below), whose sum is σ = 3366150144. Its totient is φ = 437374080.

The previous prime is 1338460297. The next prime is 1338460351. The reversal of 1338460340 is 430648331.

It is a junction number, because it is equal to n+sod(n) for n = 1338460297 and 1338460306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288479 + ... + 293081.

It is an arithmetic number, because the mean of its divisors is an integer number (35064064).

Almost surely, 2^1338460340 is an apocalyptic number.

1338460340 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 1338460340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683075072).

1338460340 is an abundant number, since it is smaller than the sum of its proper divisors (2027689804).

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

1338460340 is a wasteful number, since it uses less digits than its factorization.

1338460340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4717 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 1338460340 is about 36584.9742380666. The cubic root of 1338460340 is about 1102.0513621712.

The spelling of 1338460340 in words is "one billion, three hundred thirty-eight million, four hundred sixty thousand, three hundred forty".