35138224224 has 384 divisors, whose sum is σ = 109494927360. Its totient is φ = 10945497600.

The previous prime is 35138224213. The next prime is 35138224229. The reversal of 35138224224 is 42242283153.

35138224224 is a `hidden beast` number, since 3 + 51 + 382 + 2 + 4 + 224 = 666.

It is a super-2 number, since 2×35138224224² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35138224229) 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 63 ways as a sum of consecutive naturals, for example, 129661209 + ... + 129661479.

It is an arithmetic number, because the mean of its divisors is an integer number (285143040).

Almost surely, 2^35138224224 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 35138224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54747463680).

35138224224 is an abundant number, since it is smaller than the sum of its proper divisors (74356703136).

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

35138224224 is a wasteful number, since it uses less digits than its factorization.

35138224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 457 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 35138224224 in words is "thirty-five billion, one hundred thirty-eight million, two hundred twenty-four thousand, two hundred twenty-four".