33875601408 has 576 divisors, whose sum is σ = 113458363200. Its totient is φ = 9975398400.

The previous prime is 33875601407. The next prime is 33875601427. The reversal of 33875601408 is 80410657833.

33875601408 is a `hidden beast` number, since 3 + 3 + 87 + 560 + 1 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×33875601408² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33875601401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408139735 + ... + 408139817.

It is an arithmetic number, because the mean of its divisors is an integer number (196976325).

Almost surely, 2^33875601408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33875601408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56729181600).

33875601408 is an abundant number, since it is smaller than the sum of its proper divisors (79582761792).

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

33875601408 is a wasteful number, since it uses less digits than its factorization.

33875601408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 33875601408 in words is "thirty-three billion, eight hundred seventy-five million, six hundred one thousand, four hundred eight".