33704675004 has 192 divisors, whose sum is σ = 108169270272. Its totient is φ = 7883827200.

The previous prime is 33704674987. The next prime is 33704675009. The reversal of 33704675004 is 40057640733.

It is a super-2 number, since 2×33704675004² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33704675009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 458274 + ... + 526710.

It is an arithmetic number, because the mean of its divisors is an integer number (563381616).

Almost surely, 2^33704675004 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 33704675004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54084635136).

33704675004 is an abundant number, since it is smaller than the sum of its proper divisors (74464595268).

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

33704675004 is a wasteful number, since it uses less digits than its factorization.

33704675004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68516 (or 68514 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 39.

The spelling of 33704675004 in words is "thirty-three billion, seven hundred four million, six hundred seventy-five thousand, four".