38270836648440 has 768 divisors, whose sum is σ = 142747992316800. Its totient is φ = 8806662144000.

The previous prime is 38270836648427. The next prime is 38270836648481. The reversal of 38270836648440 is 4484663807283.

It is a happy number.

38270836648440 is a `hidden beast` number, since 3 + 8 + 2 + 70 + 83 + 6 + 6 + 48 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2657505240 + ... + 2657519640.

Almost surely, 2^{38270836648440} is an apocalyptic number.

38270836648440 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 38270836648440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71373996158400).

38270836648440 is an abundant number, since it is smaller than the sum of its proper divisors (104477155668360).

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

38270836648440 is a wasteful number, since it uses less digits than its factorization.

38270836648440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14848 (or 14841 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 38270836648440 in words is "thirty-eight trillion, two hundred seventy billion, eight hundred thirty-six million, six hundred forty-eight thousand, four hundred forty".