33942746880 has 648 divisors, whose sum is σ = 137841080832. Its totient is φ = 7688798208.

The previous prime is 33942746867. The next prime is 33942746881. The reversal of 33942746880 is 8864724933.

It is a super-2 number, since 2×33942746880² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33942746881) 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 71 ways as a sum of consecutive naturals, for example, 88623169 + ... + 88623551.

Almost surely, 2^33942746880 is an apocalyptic number.

33942746880 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 33942746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68920540416).

33942746880 is an abundant number, since it is smaller than the sum of its proper divisors (103898333952).

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

33942746880 is a wasteful number, since it uses less digits than its factorization.

33942746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 33942746880 in words is "thirty-three billion, nine hundred forty-two million, seven hundred forty-six thousand, eight hundred eighty".