35574422400 has 576 divisors, whose sum is σ = 143640806400. Its totient is φ = 8622028800.

The previous prime is 35574422393. The next prime is 35574422419. The reversal of 35574422400 is 422447553.

35574422400 is a `hidden beast` number, since 3 + 5 + 574 + 42 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 8551521 + ... + 8555679.

It is an arithmetic number, because the mean of its divisors is an integer number (249376400).

Almost surely, 2^35574422400 is an apocalyptic number.

35574422400 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 35574422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71820403200).

35574422400 is an abundant number, since it is smaller than the sum of its proper divisors (108066384000).

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

35574422400 is a wasteful number, since it uses less digits than its factorization.

35574422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

Adding to 35574422400 its reverse (422447553), we get a palindrome (35996869953).

The spelling of 35574422400 in words is "thirty-five billion, five hundred seventy-four million, four hundred twenty-two thousand, four hundred".