32434220400 has 120 divisors (see below), whose sum is σ = 103947049344. Its totient is φ = 8645011200.

The previous prime is 32434220393. The next prime is 32434220437. The reversal of 32434220400 is 402243423.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3171295 + ... + 3181505.

Almost surely, 2^32434220400 is an apocalyptic number.

32434220400 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 32434220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51973524672).

32434220400 is an abundant number, since it is smaller than the sum of its proper divisors (71512828944).

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

32434220400 is a wasteful number, since it uses less digits than its factorization.

32434220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12879 (or 12868 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 32434220400 its reverse (402243423), we get a palindrome (32836463823).

The spelling of 32434220400 in words is "thirty-two billion, four hundred thirty-four million, two hundred twenty thousand, four hundred".