1348257792 has 384 divisors, whose sum is σ = 4528742400. Its totient is φ = 348192768.

The previous prime is 1348257773. The next prime is 1348257851. The reversal of 1348257792 is 2977528431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28686313 + ... + 28686359.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2^1348257792 is an apocalyptic number.

1348257792 is a gapful number since it is divisible by the number (12) 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 1348257792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).

1348257792 is an abundant number, since it is smaller than the sum of its proper divisors (3180484608).

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

1348257792 is a wasteful number, since it uses less digits than its factorization.

1348257792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 1348257792 is about 36718.6300398040. The cubic root of 1348257792 is about 1104.7338116556.

The spelling of 1348257792 in words is "one billion, three hundred forty-eight million, two hundred fifty-seven thousand, seven hundred ninety-two".