33386675904 has 336 divisors, whose sum is σ = 107950516128. Its totient is φ = 10188177408.

The previous prime is 33386675899. The next prime is 33386675947. The reversal of 33386675904 is 40957668333.

It is a super-2 number, since 2×33386675904² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9780502 + ... + 9783914.

It is an arithmetic number, because the mean of its divisors is an integer number (321281298).

Almost surely, 2^33386675904 is an apocalyptic number.

33386675904 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 33386675904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53975258064).

33386675904 is an abundant number, since it is smaller than the sum of its proper divisors (74563840224).

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

33386675904 is a wasteful number, since it uses less digits than its factorization.

33386675904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 33386675904 in words is "thirty-three billion, three hundred eighty-six million, six hundred seventy-five thousand, nine hundred four".