1337894880 has 288 divisors, whose sum is σ = 5087867904. Its totient is φ = 289446912.

The previous prime is 1337894879. The next prime is 1337894891. The reversal of 1337894880 is 884987331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1212409 + ... + 1213511.

It is an arithmetic number, because the mean of its divisors is an integer number (17666208).

Almost surely, 2^1337894880 is an apocalyptic number.

1337894880 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 1337894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543933952).

1337894880 is an abundant number, since it is smaller than the sum of its proper divisors (3749973024).

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

1337894880 is a wasteful number, since it uses less digits than its factorization.

1337894880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 1337894880 is about 36577.2453856219. The cubic root of 1337894880 is about 1101.8961455835.

The spelling of 1337894880 in words is "one billion, three hundred thirty-seven million, eight hundred ninety-four thousand, eight hundred eighty".