33284979000 has 2048 divisors, whose sum is σ = 161021952000. Its totient is φ = 6158592000.

The previous prime is 33284978957. The next prime is 33284979001. The reversal of 33284979000 is 97948233.

It is a happy number.

It is a super-2 number, since 2×33284979000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33284979001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1073708985 + ... + 1073709015.

It is an arithmetic number, because the mean of its divisors is an integer number (78624000).

Almost surely, 2^33284979000 is an apocalyptic number.

33284979000 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 33284979000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80510976000).

33284979000 is an abundant number, since it is smaller than the sum of its proper divisors (127736973000).

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

33284979000 is a wasteful number, since it uses less digits than its factorization.

33284979000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 33284979000 in words is "thirty-three billion, two hundred eighty-four million, nine hundred seventy-nine thousand".