38284216497072 has 800 divisors, whose sum is σ = 140899730284544. Its totient is φ = 9762600038400.

The previous prime is 38284216497031. The next prime is 38284216497113. The reversal of 38284216497072 is 27079461248283.

It is a happy number.

38284216497072 is a `hidden beast` number, since 3 + 8 + 28 + 42 + 16 + 497 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (38284216497031) and next prime (38284216497113).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4829593173 + ... + 4829601099.

Almost surely, 2^{38284216497072} 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 38284216497072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70449865142272).

38284216497072 is an abundant number, since it is smaller than the sum of its proper divisors (102615513787472).

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

38284216497072 is a wasteful number, since it uses less digits than its factorization.

38284216497072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9319 (or 9304 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 38284216497072 in words is "thirty-eight trillion, two hundred eighty-four billion, two hundred sixteen million, four hundred ninety-seven thousand, seventy-two".