33726361084416 has 1920 divisors, whose sum is σ = 137113337518080. Its totient is φ = 7963141570560.

The previous prime is 33726361084379. The next prime is 33726361084439. The reversal of 33726361084416 is 61448016362733.

33726361084416 is a `hidden beast` number, since 3 + 3 + 7 + 2 + 6 + 3 + 610 + 8 + 4 + 4 + 16 = 666.

It is a super-2 number, since 2×33726361084416² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10198474635 + ... + 10198477941.

It is an arithmetic number, because the mean of its divisors is an integer number (71413196624).

Almost surely, 2^{33726361084416} is an apocalyptic number.

33726361084416 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 33726361084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68556668759040).

33726361084416 is an abundant number, since it is smaller than the sum of its proper divisors (103386976433664).

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

33726361084416 is a wasteful number, since it uses less digits than its factorization.

33726361084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 33726361084416 in words is "thirty-three trillion, seven hundred twenty-six billion, three hundred sixty-one million, eighty-four thousand, four hundred sixteen".