33288869376 has 640 divisors, whose sum is σ = 118540984320. Its totient is φ = 9137111040.

The previous prime is 33288869371. The next prime is 33288869387. The reversal of 33288869376 is 67396888233.

It is a super-2 number, since 2×33288869376² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33288869371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242984380 + ... + 242984516.

It is an arithmetic number, because the mean of its divisors is an integer number (185220288).

Almost surely, 2^33288869376 is an apocalyptic number.

33288869376 is a gapful number since it is divisible by the number (36) 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 33288869376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59270492160).

33288869376 is an abundant number, since it is smaller than the sum of its proper divisors (85252114944).

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

33288869376 is an frugal number, since it uses more digits than its factorization.

33288869376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 180 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 33288869376 in words is "thirty-three billion, two hundred eighty-eight million, eight hundred sixty-nine thousand, three hundred seventy-six".