38156212224 has 864 divisors, whose sum is σ = 137282418000. Its totient is φ = 10107224064.

The previous prime is 38156212217. The next prime is 38156212321. The reversal of 38156212224 is 42221265183.

38156212224 is a `hidden beast` number, since 3 + 8 + 1 + 5 + 621 + 2 + 2 + 24 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1315731442 + ... + 1315731470.

Almost surely, 2^38156212224 is an apocalyptic number.

38156212224 is a gapful number since it is divisible by the number (34) 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 38156212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68641209000).

38156212224 is an abundant number, since it is smaller than the sum of its proper divisors (99126205776).

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

38156212224 is a wasteful number, since it uses less digits than its factorization.

38156212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 83 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 38156212224 in words is "thirty-eight billion, one hundred fifty-six million, two hundred twelve thousand, two hundred twenty-four".