33234741632 has 64 divisors (see below), whose sum is σ = 69883321200. Its totient is φ = 15700137984.

The previous prime is 33234741623. The next prime is 33234741647. The reversal of 33234741632 is 23614743233.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33234741632² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 888818 + ... + 925454.

Almost surely, 2^33234741632 is an apocalyptic number.

33234741632 is a gapful number since it is divisible by the number (32) 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 33234741632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34941660600).

33234741632 is an abundant number, since it is smaller than the sum of its proper divisors (36648579568).

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

33234741632 is a wasteful number, since it uses less digits than its factorization.

33234741632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37043 (or 37031 counting only the distinct ones).

The product of its digits is 217728, while the sum is 38.

The spelling of 33234741632 in words is "thirty-three billion, two hundred thirty-four million, seven hundred forty-one thousand, six hundred thirty-two".