33349034880 has 640 divisors, whose sum is σ = 140846904000. Its totient is φ = 7357464576.

The previous prime is 33349034777. The next prime is 33349034891. The reversal of 33349034880 is 8843094333.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×33349034880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10521936 + ... + 10525104.

Almost surely, 2^33349034880 is an apocalyptic number.

33349034880 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 33349034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70423452000).

33349034880 is an abundant number, since it is smaller than the sum of its proper divisors (107497869120).

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

33349034880 is a wasteful number, since it uses less digits than its factorization.

33349034880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 33349034880 in words is "thirty-three billion, three hundred forty-nine million, thirty-four thousand, eight hundred eighty".