38318377266000 has 3200 divisors, whose sum is σ = 163770278031360. Its totient is φ = 8559323136000.

The previous prime is 38318377265939. The next prime is 38318377266017. The reversal of 38318377266000 is 66277381383.

38318377266000 is a `hidden beast` number, since 3 + 8 + 3 + 1 + 8 + 3 + 7 + 7 + 26 + 600 + 0 = 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 639 ways as a sum of consecutive naturals, for example, 70051877727 + ... + 70051878273.

Almost surely, 2^{38318377266000} is an apocalyptic number.

38318377266000 is a gapful number since it is divisible by the number (30) 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 38318377266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81885139015680).

38318377266000 is an abundant number, since it is smaller than the sum of its proper divisors (125451900765360).

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

38318377266000 is a wasteful number, since it uses less digits than its factorization.

38318377266000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 38318377266000 in words is "thirty-eight trillion, three hundred eighteen billion, three hundred seventy-seven million, two hundred sixty-six thousand".