38274858720 has 480 divisors, whose sum is σ = 155857540608. Its totient is φ = 8664579072.

The previous prime is 38274858719. The next prime is 38274858751. The reversal of 38274858720 is 2785847283.

38274858720 is a `hidden beast` number, since 3 + 82 + 7 + 485 + 87 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 9705069 + ... + 9709011.

Almost surely, 2^38274858720 is an apocalyptic number.

38274858720 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 38274858720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77928770304).

38274858720 is an abundant number, since it is smaller than the sum of its proper divisors (117582681888).

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

38274858720 is a wasteful number, since it uses less digits than its factorization.

38274858720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 38274858720 in words is "thirty-eight billion, two hundred seventy-four million, eight hundred fifty-eight thousand, seven hundred twenty".