1346764320 has 576 divisors, whose sum is σ = 5389203456. Its totient is φ = 314772480.

The previous prime is 1346764313. The next prime is 1346764373. The reversal of 1346764320 is 234676431.

It is a happy number.

1346764320 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 7 + 643 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20100927 + ... + 20100993.

It is an arithmetic number, because the mean of its divisors is an integer number (9356256).

Almost surely, 2^1346764320 is an apocalyptic number.

1346764320 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 1346764320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694601728).

1346764320 is an abundant number, since it is smaller than the sum of its proper divisors (4042439136).

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

1346764320 is a wasteful number, since it uses less digits than its factorization.

1346764320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 1346764320 is about 36698.2876984744. The cubic root of 1346764320 is about 1104.3257545326.

The spelling of 1346764320 in words is "one billion, three hundred forty-six million, seven hundred sixty-four thousand, three hundred twenty".