3320961659136 has 1080 divisors, whose sum is σ = 11778051656448. Its totient is φ = 921922560000.

The previous prime is 3320961659131. The next prime is 3320961659173. The reversal of 3320961659136 is 6319561690233.

3320961659136 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 9 + 6 + 16 + 591 + 36 = 666.

It is a super-2 number, since 2×3320961659136² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3320961659131) 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 119 ways as a sum of consecutive naturals, for example, 2552621686 + ... + 2552622986.

Almost surely, 2^{3320961659136} is an apocalyptic number.

3320961659136 is a gapful number since it is divisible by the number (36) 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 3320961659136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889025828224).

3320961659136 is an abundant number, since it is smaller than the sum of its proper divisors (8457089997312).

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

3320961659136 is a wasteful number, since it uses less digits than its factorization.

3320961659136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 3320961659136 in words is "three trillion, three hundred twenty billion, nine hundred sixty-one million, six hundred fifty-nine thousand, one hundred thirty-six".