38106270720 has 704 divisors, whose sum is σ = 157901322240. Its totient is φ = 8534163456.

The previous prime is 38106270707. The next prime is 38106270751. The reversal of 38106270720 is 2707260183.

38106270720 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 627 + 0 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 51286669 + ... + 51287411.

Almost surely, 2^38106270720 is an apocalyptic number.

38106270720 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 38106270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78950661120).

38106270720 is an abundant number, since it is smaller than the sum of its proper divisors (119795051520).

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

38106270720 is a wasteful number, since it uses less digits than its factorization.

38106270720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 38106270720 in words is "thirty-eight billion, one hundred six million, two hundred seventy thousand, seven hundred twenty".