35556822400 has 384 divisors, whose sum is σ = 102776636160. Its totient is φ = 12023193600.

The previous prime is 35556822383. The next prime is 35556822403. The reversal of 35556822400 is 422865553.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35556822403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29954607 + ... + 29955793.

It is an arithmetic number, because the mean of its divisors is an integer number (267647490).

Almost surely, 2^35556822400 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 35556822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51388318080).

35556822400 is an abundant number, since it is smaller than the sum of its proper divisors (67219813760).

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

35556822400 is a wasteful number, since it uses less digits than its factorization.

35556822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 35556822400 in words is "thirty-five billion, five hundred fifty-six million, eight hundred twenty-two thousand, four hundred".