38165323262976 has 1056 divisors, whose sum is σ = 142869988352000. Its totient is φ = 9740558499840.

The previous prime is 38165323262947. The next prime is 38165323262993. The reversal of 38165323262976 is 67926232356183.

It is a happy number.

38165323262976 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 532 + 3 + 2 + 6 + 2 + 97 + 6 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1273903485 + ... + 1273933443.

Almost surely, 2^{38165323262976} is an apocalyptic number.

38165323262976 is a gapful number since it is divisible by the number (36) 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 38165323262976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71434994176000).

38165323262976 is an abundant number, since it is smaller than the sum of its proper divisors (104704665089024).

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

38165323262976 is a wasteful number, since it uses less digits than its factorization.

38165323262976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30050 (or 30015 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 38165323262976 in words is "thirty-eight trillion, one hundred sixty-five billion, three hundred twenty-three million, two hundred sixty-two thousand, nine hundred seventy-six".