33472908000 has 576 divisors, whose sum is σ = 142932142080. Its totient is φ = 7247232000.

The previous prime is 33472907999. The next prime is 33472908011. The reversal of 33472908000 is 80927433.

It is a super-2 number, since 2×33472908000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4784505 + ... + 4791495.

It is an arithmetic number, because the mean of its divisors is an integer number (248146080).

Almost surely, 2^33472908000 is an apocalyptic number.

33472908000 is a gapful number since it is divisible by the number (30) 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 33472908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71466071040).

33472908000 is an abundant number, since it is smaller than the sum of its proper divisors (109459234080).

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

33472908000 is a wasteful number, since it uses less digits than its factorization.

33472908000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7048 (or 7027 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 33472908000 in words is "thirty-three billion, four hundred seventy-two million, nine hundred eight thousand".