33845748324 has 72 divisors (see below), whose sum is σ = 85042015968. Its totient is φ = 10472739840.

The previous prime is 33845748317. The next prime is 33845748331. The reversal of 33845748324 is 42384754833.

It is an interprime number because it is at equal distance from previous prime (33845748317) and next prime (33845748331).

It is a super-2 number, since 2×33845748324² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 186319 + ... + 320009.

Almost surely, 2^33845748324 is an apocalyptic number.

33845748324 is a gapful number since it is divisible by the number (34) 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 33845748324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42521007984).

33845748324 is an abundant number, since it is smaller than the sum of its proper divisors (51196267644).

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

33845748324 is a wasteful number, since it uses less digits than its factorization.

33845748324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133805 (or 133786 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 51.

The spelling of 33845748324 in words is "thirty-three billion, eight hundred forty-five million, seven hundred forty-eight thousand, three hundred twenty-four".