1348374720 has 896 divisors, whose sum is σ = 6004316160. Its totient is φ = 247726080.

The previous prime is 1348374679. The next prime is 1348374733. The reversal of 1348374720 is 274738431.

It is a super-3 number, since 3×1348374720³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36442542 + ... + 36442578.

Almost surely, 2^1348374720 is an apocalyptic number.

1348374720 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 1348374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002158080).

1348374720 is an abundant number, since it is smaller than the sum of its proper divisors (4655941440).

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

1348374720 is a wasteful number, since it uses less digits than its factorization.

1348374720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 1348374720 is about 36720.2222215498. Note that the first 5 decimals coincide. The cubic root of 1348374720 is about 1104.7657468394.

The spelling of 1348374720 in words is "one billion, three hundred forty-eight million, three hundred seventy-four thousand, seven hundred twenty".