33323020400 has 60 divisors (see below), whose sum is σ = 80219475000. Its totient is φ = 13302416640.

The previous prime is 33323020391. The next prime is 33323020427. The reversal of 33323020400 is 402032333.

It is a super-2 number, since 2×33323020400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116126 + ... + 283074.

It is an arithmetic number, because the mean of its divisors is an integer number (1336991250).

Almost surely, 2^33323020400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33323020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40109737500).

33323020400 is an abundant number, since it is smaller than the sum of its proper divisors (46896454600).

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

33323020400 is a wasteful number, since it uses less digits than its factorization.

33323020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167466 (or 167455 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 33323020400 its reverse (402032333), we get a palindrome (33725052733).

The spelling of 33323020400 in words is "thirty-three billion, three hundred twenty-three million, twenty thousand, four hundred".