33504006672 has 100 divisors (see below), whose sum is σ = 97860364140. Its totient is φ = 11065496832.

The previous prime is 33504006659. The next prime is 33504006713. The reversal of 33504006672 is 27660040533.

It can be written as a sum of positive squares in 2 ways, for example, as 30661410816 + 2842595856 = 175104^2 + 53316^2 .

It is a super-2 number, since 2×33504006672² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22678 + ... + 259850.

Almost surely, 2^33504006672 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 33504006672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48930182070).

33504006672 is an abundant number, since it is smaller than the sum of its proper divisors (64356357468).

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

33504006672 is a wasteful number, since it uses less digits than its factorization.

33504006672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237302 (or 237287 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 33504006672 in words is "thirty-three billion, five hundred four million, six thousand, six hundred seventy-two".