33754140728 has 128 divisors (see below), whose sum is σ = 82446750720. Its totient is φ = 12562344960.

The previous prime is 33754140727. The next prime is 33754140757. The reversal of 33754140728 is 82704145733.

It is a Cunningham number, because it is equal to 183723²-1.

It is a super-2 number, since 2×33754140728² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33754140727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16901426 + ... + 16903422.

It is an arithmetic number, because the mean of its divisors is an integer number (644115240).

Almost surely, 2^33754140728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33754140728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41223375360).

33754140728 is an abundant number, since it is smaller than the sum of its proper divisors (48692609992).

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

33754140728 is a wasteful number, since it uses less digits than its factorization.

33754140728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 33754140728 in words is "thirty-three billion, seven hundred fifty-four million, one hundred forty thousand, seven hundred twenty-eight".