1346913792 has 320 divisors, whose sum is σ = 4713984000. Its totient is φ = 371589120.

The previous prime is 1346913779. The next prime is 1346913839. The reversal of 1346913792 is 2973196431.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2999584 + ... + 3000032.

It is an arithmetic number, because the mean of its divisors is an integer number (14731200).

Almost surely, 2^1346913792 is an apocalyptic number.

1346913792 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 1346913792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356992000).

1346913792 is an abundant number, since it is smaller than the sum of its proper divisors (3367070208).

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

1346913792 is an equidigital number, since it uses as much as digits as its factorization.

1346913792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 492 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 1346913792 is about 36700.3241402579. The cubic root of 1346913792 is about 1104.3666079248.

It can be divided in two parts, 13469 and 13792, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 1346913792 in words is "one billion, three hundred forty-six million, nine hundred thirteen thousand, seven hundred ninety-two".