33489882770400 has 432 divisors, whose sum is σ = 134980490945664. Its totient is φ = 7653907952640.

The previous prime is 33489882770341. The next prime is 33489882770401. The reversal of 33489882770400 is 407728898433.

33489882770400 is a `hidden beast` number, since 3 + 3 + 4 + 89 + 8 + 82 + 7 + 70 + 400 = 666.

It is a super-2 number, since 2×33489882770400² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33489882770401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 473875867 + ... + 473946533.

It is an arithmetic number, because the mean of its divisors is an integer number (312454840152).

Almost surely, 2^{33489882770400} is an apocalyptic number.

33489882770400 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 33489882770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67490245472832).

33489882770400 is an abundant number, since it is smaller than the sum of its proper divisors (101490608175264).

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

33489882770400 is a wasteful number, since it uses less digits than its factorization.

33489882770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80103 (or 80087 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 33489882770400 in words is "thirty-three trillion, four hundred eighty-nine billion, eight hundred eighty-two million, seven hundred seventy thousand, four hundred".