33452000400 has 960 divisors, whose sum is σ = 145070714880. Its totient is φ = 6386688000.

The previous prime is 33452000399. The next prime is 33452000401. The reversal of 33452000400 is 400025433.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33452000399) and next prime (33452000401).

It is a super-2 number, since 2×33452000400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (33452000401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47720050 + ... + 47720750.

It is an arithmetic number, because the mean of its divisors is an integer number (151115328).

Almost surely, 2^33452000400 is an apocalyptic number.

33452000400 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 33452000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72535357440).

33452000400 is an abundant number, since it is smaller than the sum of its proper divisors (111618714480).

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

33452000400 is a wasteful number, since it uses less digits than its factorization.

33452000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

Adding to 33452000400 its reverse (400025433), we get a palindrome (33852025833).

The spelling of 33452000400 in words is "thirty-three billion, four hundred fifty-two million, four hundred", and thus it is an aban number.