38224196352 has 576 divisors, whose sum is σ = 126368256000. Its totient is φ = 11346739200.

The previous prime is 38224196327. The next prime is 38224196369. The reversal of 38224196352 is 25369142283.

38224196352 is a `hidden beast` number, since 3 + 8 + 2 + 2 + 4 + 1 + 9 + 635 + 2 = 666.

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

It is a super-2 number, since 2×38224196352² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38224196298 and 38224196307.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166917774 + ... + 166918002.

Almost surely, 2^38224196352 is an apocalyptic number.

38224196352 is a gapful number since it is divisible by the number (32) 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 38224196352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63184128000).

38224196352 is an abundant number, since it is smaller than the sum of its proper divisors (88144059648).

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

38224196352 is a wasteful number, since it uses less digits than its factorization.

38224196352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 325 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 38224196352 in words is "thirty-eight billion, two hundred twenty-four million, one hundred ninety-six thousand, three hundred fifty-two".