38285736370464 has 144 divisors (see below), whose sum is σ = 110474372854944. Its totient is φ = 11600964587520.

The previous prime is 38285736370457. The next prime is 38285736370471. The reversal of 38285736370464 is 46407363758283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38285736370457) and next prime (38285736370471).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 38285736370395 and 38285736370404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187926384 + ... + 188130000.

It is an arithmetic number, because the mean of its divisors is an integer number (767183144826).

Almost surely, 2^{38285736370464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38285736370464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55237186427472).

38285736370464 is an abundant number, since it is smaller than the sum of its proper divisors (72188636484480).

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

38285736370464 is a wasteful number, since it uses less digits than its factorization.

38285736370464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219839 (or 219820 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 66.

The spelling of 38285736370464 in words is "thirty-eight trillion, two hundred eighty-five billion, seven hundred thirty-six million, three hundred seventy thousand, four hundred sixty-four".