1348336320 has 112 divisors (see below), whose sum is σ = 4419161088. Its totient is φ = 347950080.

The previous prime is 1348336307. The next prime is 1348336333. The reversal of 1348336320 is 236338431.

It is an interprime number because it is at equal distance from previous prime (1348336307) and next prime (1348336333).

It is a super-2 number, since 2×1348336320² = 3636021663662284800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7107 + ... + 52413.

Almost surely, 2^1348336320 is an apocalyptic number.

1348336320 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 1348336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209580544).

1348336320 is an abundant number, since it is smaller than the sum of its proper divisors (3070824768).

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

1348336320 is a wasteful number, since it uses less digits than its factorization.

1348336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45358 (or 45348 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 1348336320 is about 36719.6993451744. The cubic root of 1348336320 is about 1104.7552592979.

The spelling of 1348336320 in words is "one billion, three hundred forty-eight million, three hundred thirty-six thousand, three hundred twenty".