3323436480 has 560 divisors, whose sum is σ = 14560539840. Its totient is φ = 700710912.

The previous prime is 3323436469. The next prime is 3323436517. The reversal of 3323436480 is 846343233.

3323436480 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 4 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×3323436480² = 22090460073189580800, which contains 22 as substring.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2358016 + ... + 2359424.

It is an arithmetic number, because the mean of its divisors is an integer number (26000964).

Almost surely, 2^3323436480 is an apocalyptic number.

3323436480 is a gapful number since it is divisible by the number (30) 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 3323436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280269920).

3323436480 is an abundant number, since it is smaller than the sum of its proper divisors (11237103360).

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

3323436480 is a wasteful number, since it uses less digits than its factorization.

3323436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 3323436480 is about 57649.2539413998. The cubic root of 3323436480 is about 1492.3217231063.

The spelling of 3323436480 in words is "three billion, three hundred twenty-three million, four hundred thirty-six thousand, four hundred eighty".