33405234000 has 80 divisors (see below), whose sum is σ = 107698493760. Its totient is φ = 8908060800.

The previous prime is 33405233993. The next prime is 33405234029. The reversal of 33405234000 is 43250433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33405234000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2777770 + ... + 2789769.

It is an arithmetic number, because the mean of its divisors is an integer number (1346231172).

Almost surely, 2^33405234000 is an apocalyptic number.

33405234000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33405234000 is an abundant number, since it is smaller than the sum of its proper divisors (74293259760).

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

33405234000 is a wasteful number, since it uses less digits than its factorization.

33405234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567565 (or 5567549 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

Adding to 33405234000 its reverse (43250433), we get a palindrome (33448484433).

The spelling of 33405234000 in words is "thirty-three billion, four hundred five million, two hundred thirty-four thousand".