1346896320 has 672 divisors, whose sum is σ = 5754136320. Its totient is φ = 263208960.

The previous prime is 1346896303. The next prime is 1346896321. The reversal of 1346896320 is 236986431.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×1346896320³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346896321) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9831292 + ... + 9831428.

Almost surely, 2^1346896320 is an apocalyptic number.

1346896320 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 1346896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877068160).

1346896320 is an abundant number, since it is smaller than the sum of its proper divisors (4407240000).

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

1346896320 is a wasteful number, since it uses less digits than its factorization.

1346896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 1346896320 is about 36700.0861034412. The cubic root of 1346896320 is about 1104.3618326682.

The spelling of 1346896320 in words is "one billion, three hundred forty-six million, eight hundred ninety-six thousand, three hundred twenty".