33649608342 has 128 divisors (see below), whose sum is σ = 86403317760. Its totient is φ = 8504455680.

The previous prime is 33649608341. The next prime is 33649608383. The reversal of 33649608342 is 24380694633.

It is a happy number.

It is a super-2 number, since 2×33649608342² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33649608291 and 33649608300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33649608341) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1713117 + ... + 1732647.

It is an arithmetic number, because the mean of its divisors is an integer number (675025920).

Almost surely, 2^33649608342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33649608342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43201658880).

33649608342 is an abundant number, since it is smaller than the sum of its proper divisors (52753709418).

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

33649608342 is a wasteful number, since it uses less digits than its factorization.

33649608342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19706.

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 33649608342 in words is "thirty-three billion, six hundred forty-nine million, six hundred eight thousand, three hundred forty-two".