1348764384 has 192 divisors, whose sum is σ = 3971358720. Its totient is φ = 397393920.

The previous prime is 1348764383. The next prime is 1348764407. The reversal of 1348764384 is 4834678431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348764383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10620129 + ... + 10620255.

It is an arithmetic number, because the mean of its divisors is an integer number (20684160).

Almost surely, 2^1348764384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1348764384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985679360).

1348764384 is an abundant number, since it is smaller than the sum of its proper divisors (2622594336).

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

1348764384 is a wasteful number, since it uses less digits than its factorization.

1348764384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 345 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 1348764384 is about 36725.5276885166. The cubic root of 1348764384 is about 1104.8721579064.

The spelling of 1348764384 in words is "one billion, three hundred forty-eight million, seven hundred sixty-four thousand, three hundred eighty-four".