38300405161536 has 252 divisors, whose sum is σ = 127964793874320. Its totient is φ = 10920681838080.

The previous prime is 38300405161493. The next prime is 38300405161537. The reversal of 38300405161536 is 63516150400383.

38300405161536 is a `hidden beast` number, since 3 + 8 + 3 + 0 + 0 + 4 + 0 + 51 + 61 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 38300405161491 and 38300405161500.

It is not an unprimeable number, because it can be changed into a prime (38300405161537) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12476095 + ... + 15239873.

Almost surely, 2^{38300405161536} is an apocalyptic number.

38300405161536 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 38300405161536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63982396937160).

38300405161536 is an abundant number, since it is smaller than the sum of its proper divisors (89664388712784).

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

38300405161536 is a wasteful number, since it uses less digits than its factorization.

38300405161536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764302 (or 2764282 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 38300405161536 in words is "thirty-eight trillion, three hundred billion, four hundred five million, one hundred sixty-one thousand, five hundred thirty-six".