33406673340 has 96 divisors (see below), whose sum is σ = 96250049280. Its totient is φ = 8652542976.

The previous prime is 33406673317. The next prime is 33406673341. The reversal of 33406673340 is 4337660433.

It is a super-2 number, since 2×33406673340² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33406673341) 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 31 ways as a sum of consecutive naturals, for example, 425652 + ... + 497988.

It is an arithmetic number, because the mean of its divisors is an integer number (1002604680).

Almost surely, 2^33406673340 is an apocalyptic number.

33406673340 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 33406673340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48125024640).

33406673340 is an abundant number, since it is smaller than the sum of its proper divisors (62843375940).

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

33406673340 is a wasteful number, since it uses less digits than its factorization.

33406673340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72571 (or 72569 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 39.

The spelling of 33406673340 in words is "thirty-three billion, four hundred six million, six hundred seventy-three thousand, three hundred forty".