1348782672 has 80 divisors (see below), whose sum is σ = 3549550592. Its totient is φ = 441262080.

The previous prime is 1348782661. The next prime is 1348782683. The reversal of 1348782672 is 2762878431.

It is an interprime number because it is at equal distance from previous prime (1348782661) and next prime (1348782683).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 590172 + ... + 592452.

Almost surely, 2^1348782672 is an apocalyptic number.

1348782672 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 1348782672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774775296).

1348782672 is an abundant number, since it is smaller than the sum of its proper divisors (2200767920).

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

1348782672 is a wasteful number, since it uses less digits than its factorization.

1348782672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2510 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 1348782672 is about 36725.7766697996. The cubic root of 1348782672 is about 1104.8771515660.

It can be divided in two parts, 134878 and 2672, that added together give a triangular number (137550 = T₅₂₄).

The spelling of 1348782672 in words is "one billion, three hundred forty-eight million, seven hundred eighty-two thousand, six hundred seventy-two".