33792042360 has 256 divisors, whose sum is σ = 106730265600. Its totient is φ = 8547840000.

The previous prime is 33792042289. The next prime is 33792042367. The reversal of 33792042360 is 6324029733.

It is a super-2 number, since 2×33792042360² (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 (33792042367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56226060 + ... + 56226660.

It is an arithmetic number, because the mean of its divisors is an integer number (416915100).

Almost surely, 2^33792042360 is an apocalyptic number.

33792042360 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 33792042360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53365132800).

33792042360 is an abundant number, since it is smaller than the sum of its proper divisors (72938223240).

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

33792042360 is a wasteful number, since it uses less digits than its factorization.

33792042360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

The spelling of 33792042360 in words is "thirty-three billion, seven hundred ninety-two million, forty-two thousand, three hundred sixty".