38074583833416 has 480 divisors, whose sum is σ = 118299856134240. Its totient is φ = 11432312027136.

The previous prime is 38074583833399. The next prime is 38074583833417. The reversal of 38074583833416 is 61433838547083.

38074583833416 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 4 + 583 + 8 + 3 + 3 + 41 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (38074583833417) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 785067280 + ... + 785115776.

It is an arithmetic number, because the mean of its divisors is an integer number (246458033613).

Almost surely, 2^{38074583833416} is an apocalyptic number.

38074583833416 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 38074583833416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59149928067120).

38074583833416 is an abundant number, since it is smaller than the sum of its proper divisors (80225272300824).

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

38074583833416 is a wasteful number, since it uses less digits than its factorization.

38074583833416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48715 (or 48689 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 38074583833416 in words is "thirty-eight trillion, seventy-four billion, five hundred eighty-three million, eight hundred thirty-three thousand, four hundred sixteen".