33240406368 has 288 divisors, whose sum is σ = 100409349600. Its totient is φ = 9569083392.

The previous prime is 33240406343. The next prime is 33240406393. The reversal of 33240406368 is 86360404233.

It is an interprime number because it is at equal distance from previous prime (33240406343) and next prime (33240406393).

It is a super-2 number, since 2×33240406368² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40096578 + ... + 40097406.

It is an arithmetic number, because the mean of its divisors is an integer number (348643575).

Almost surely, 2^33240406368 is an apocalyptic number.

33240406368 is a gapful number since it is divisible by the number (38) 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 33240406368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50204674800).

33240406368 is an abundant number, since it is smaller than the sum of its proper divisors (67168943232).

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

33240406368 is a wasteful number, since it uses less digits than its factorization.

33240406368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 33240406368 in words is "thirty-three billion, two hundred forty million, four hundred six thousand, three hundred sixty-eight".