33474672000 has 768 divisors, whose sum is σ = 149929228800. Its totient is φ = 6953472000.

The previous prime is 33474671953. The next prime is 33474672013. The reversal of 33474672000 is 27647433.

It is a happy number.

It is a super-2 number, since 2×33474672000² (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, 11086491 + ... + 11089509.

It is an arithmetic number, because the mean of its divisors is an integer number (195220350).

Almost surely, 2^33474672000 is an apocalyptic number.

33474672000 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 33474672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74964614400).

33474672000 is an abundant number, since it is smaller than the sum of its proper divisors (116454556800).

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

33474672000 is a wasteful number, since it uses less digits than its factorization.

33474672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 33474672000 in words is "thirty-three billion, four hundred seventy-four million, six hundred seventy-two thousand".