1337733738 has 64 divisors (see below), whose sum is σ = 3257856000. Its totient is φ = 403516080.

The previous prime is 1337733713. The next prime is 1337733739. The reversal of 1337733738 is 8373377331.

It is a junction number, because it is equal to n+sod(n) for n = 1337733693 and 1337733702.

It is not an unprimeable number, because it can be changed into a prime (1337733739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127413 + ... + 137511.

It is an arithmetic number, because the mean of its divisors is an integer number (50904000).

Almost surely, 2^1337733738 is an apocalyptic number.

1337733738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1337733738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628928000).

1337733738 is an abundant number, since it is smaller than the sum of its proper divisors (1920122262).

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

1337733738 is a wasteful number, since it uses less digits than its factorization.

1337733738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10344 (or 10338 counting only the distinct ones).

The product of its digits is 666792, while the sum is 45.

The square root of 1337733738 is about 36575.0425563662. The cubic root of 1337733738 is about 1101.8519047191.

The spelling of 1337733738 in words is "one billion, three hundred thirty-seven million, seven hundred thirty-three thousand, seven hundred thirty-eight".