33395004 has 144 divisors (see below), whose sum is σ = 96864768. Its totient is φ = 10015488.

The previous prime is 33394993. The next prime is 33395039. The reversal of 33395004 is 40059333.

It is a super-2 number, since 2×33395004² = 2230452584320032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 710509 + ... + 710555.

It is an arithmetic number, because the mean of its divisors is an integer number (672672).

Almost surely, 2^33395004 is an apocalyptic number.

33395004 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 33395004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48432384).

33395004 is an abundant number, since it is smaller than the sum of its proper divisors (63469764).

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

33395004 is a wasteful number, since it uses less digits than its factorization.

33395004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 33395004 is about 5778.8410602819. The cubic root of 33395004 is about 322.0281471736.

The spelling of 33395004 in words is "thirty-three million, three hundred ninety-five thousand, four".