33368400360 has 448 divisors, whose sum is σ = 120773177280. Its totient is φ = 8263710720.

The previous prime is 33368400349. The next prime is 33368400389. The reversal of 33368400360 is 6300486333.

It is a happy number.

It is a super-2 number, since 2×33368400360² (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 an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 41144355 + ... + 41145165.

It is an arithmetic number, because the mean of its divisors is an integer number (269582985).

Almost surely, 2^33368400360 is an apocalyptic number.

33368400360 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 33368400360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60386588640).

33368400360 is an abundant number, since it is smaller than the sum of its proper divisors (87404776920).

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

33368400360 is a wasteful number, since it uses less digits than its factorization.

33368400360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 33368400360 its reverse (6300486333), we get a palindrome (39668886693).

The spelling of 33368400360 in words is "thirty-three billion, three hundred sixty-eight million, four hundred thousand, three hundred sixty".