35424064224 has 144 divisors (see below), whose sum is σ = 105009624720. Its totient is φ = 11313469440.

The previous prime is 35424064201. The next prime is 35424064231. The reversal of 35424064224 is 42246042453.

35424064224 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 4 + 0 + 642 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×35424064224³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1077924 + ... + 1110300.

It is an arithmetic number, because the mean of its divisors is an integer number (729233505).

Almost surely, 2^35424064224 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 35424064224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52504812360).

35424064224 is an abundant number, since it is smaller than the sum of its proper divisors (69585560496).

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

35424064224 is a wasteful number, since it uses less digits than its factorization.

35424064224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32553 (or 32542 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 35424064224 in words is "thirty-five billion, four hundred twenty-four million, sixty-four thousand, two hundred twenty-four".