33381234000 has 1200 divisors, whose sum is σ = 137965741056. Its totient is φ = 7755264000.

The previous prime is 33381233939. The next prime is 33381234037. The reversal of 33381234000 is 43218333.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×33381234000² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 239 ways as a sum of consecutive naturals, for example, 1076813985 + ... + 1076814015.

Almost surely, 2^33381234000 is an apocalyptic number.

33381234000 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 33381234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68982870528).

33381234000 is an abundant number, since it is smaller than the sum of its proper divisors (104584507056).

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

33381234000 is a wasteful number, since it uses less digits than its factorization.

33381234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 33381234000 in words is "thirty-three billion, three hundred eighty-one million, two hundred thirty-four thousand".