38464007173416 has 192 divisors, whose sum is σ = 114689534843520. Its totient is φ = 11548936488960.

The previous prime is 38464007173411. The next prime is 38464007173457. The reversal of 38464007173416 is 61437170046483.

It is a happy number.

38464007173416 is a `hidden beast` number, since 3 + 8 + 464 + 0 + 0 + 7 + 173 + 4 + 1 + 6 = 666.

It is a super-3 number, since 3×38464007173416³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (38464007173411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40934076 + ... + 41863188.

It is an arithmetic number, because the mean of its divisors is an integer number (597341327310).

Almost surely, 2^{38464007173416} is an apocalyptic number.

38464007173416 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 38464007173416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57344767421760).

38464007173416 is an abundant number, since it is smaller than the sum of its proper divisors (76225527670104).

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

38464007173416 is a wasteful number, since it uses less digits than its factorization.

38464007173416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929616 (or 929609 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 38464007173416 in words is "thirty-eight trillion, four hundred sixty-four billion, seven million, one hundred seventy-three thousand, four hundred sixteen".