38315406353616 has 320 divisors, whose sum is σ = 129032863590400. Its totient is φ = 10657830887424.

The previous prime is 38315406353563. The next prime is 38315406353621. The reversal of 38315406353616 is 61635360451383.

38315406353616 is a `hidden beast` number, since 3 + 8 + 3 + 1 + 5 + 40 + 63 + 536 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39439920 + ... + 40399728.

It is an arithmetic number, because the mean of its divisors is an integer number (403227698720).

Almost surely, 2^{38315406353616} is an apocalyptic number.

38315406353616 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 38315406353616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64516431795200).

38315406353616 is an abundant number, since it is smaller than the sum of its proper divisors (90717457236784).

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

38315406353616 is a wasteful number, since it uses less digits than its factorization.

38315406353616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960183 (or 960171 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 38315406353616 in words is "thirty-eight trillion, three hundred fifteen billion, four hundred six million, three hundred fifty-three thousand, six hundred sixteen".