1338140736 has 392 divisors, whose sum is σ = 4397532480. Its totient is φ = 402361344.

The previous prime is 1338140731. The next prime is 1338140747. The reversal of 1338140736 is 6370418331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1338140736.

It is not an unprimeable number, because it can be changed into a prime (1338140731) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31119531 + ... + 31119573.

Almost surely, 2^1338140736 is an apocalyptic number.

1338140736 is a gapful number since it is divisible by the number (16) 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 1338140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198766240).

1338140736 is an abundant number, since it is smaller than the sum of its proper divisors (3059391744).

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

1338140736 is an equidigital number, since it uses as much as digits as its factorization.

1338140736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1338140736 is about 36580.6060091956. The cubic root of 1338140736 is about 1101.9636374794.

The spelling of 1338140736 in words is "one billion, three hundred thirty-eight million, one hundred forty thousand, seven hundred thirty-six".