33005734140 has 48 divisors (see below), whose sum is σ = 92447994240. Its totient is φ = 8798487360.

The previous prime is 33005734133. The next prime is 33005734169. The reversal of 33005734140 is 4143750033.

It is a super-2 number, since 2×33005734140² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33005734098 and 33005734107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82755 + ... + 269925.

It is an arithmetic number, because the mean of its divisors is an integer number (1925999880).

Almost surely, 2^33005734140 is an apocalyptic number.

33005734140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33005734140 is an abundant number, since it is smaller than the sum of its proper divisors (59442260100).

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

33005734140 is a wasteful number, since it uses less digits than its factorization.

33005734140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190122 (or 190120 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The spelling of 33005734140 in words is "thirty-three billion, five million, seven hundred thirty-four thousand, one hundred forty".