33829427940 has 192 divisors, whose sum is σ = 118182758400. Its totient is φ = 7024296960.

The previous prime is 33829427923. The next prime is 33829427941. The reversal of 33829427940 is 4972492833.

It is a super-2 number, since 2×33829427940² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33829427941) 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, 12468024 + ... + 12470736.

It is an arithmetic number, because the mean of its divisors is an integer number (615535200).

Almost surely, 2^33829427940 is an apocalyptic number.

33829427940 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 33829427940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59091379200).

33829427940 is an abundant number, since it is smaller than the sum of its proper divisors (84353330460).

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

33829427940 is a wasteful number, since it uses less digits than its factorization.

33829427940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5442 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 33829427940 in words is "thirty-three billion, eight hundred twenty-nine million, four hundred twenty-seven thousand, nine hundred forty".