3623316480 has 528 divisors, whose sum is σ = 14714818560. Its totient is φ = 807174144.

The previous prime is 3623316479. The next prime is 3623316481. The reversal of 3623316480 is 846133263.

3623316480 = 168² + 169² + ... + 2215².

3623316480 is a `hidden beast` number, since 3 + 6 + 2 + 3 + 3 + 1 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3623316479) and next prime (3623316481).

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

It is not an unprimeable number, because it can be changed into a prime (3623316481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15160201 + ... + 15160439.

Almost surely, 2^3623316480 is an apocalyptic number.

3623316480 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 3623316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357409280).

3623316480 is an abundant number, since it is smaller than the sum of its proper divisors (11091502080).

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

3623316480 is a wasteful number, since it uses less digits than its factorization.

3623316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3623316480 is about 60193.9903977133. The cubic root of 3623316480 is about 1535.9205688091.

The spelling of 3623316480 in words is "three billion, six hundred twenty-three million, three hundred sixteen thousand, four hundred eighty".