38776137120 has 288 divisors, whose sum is σ = 151604369280. Its totient is φ = 8841000960.

The previous prime is 38776137109. The next prime is 38776137121. The reversal of 38776137120 is 2173167783.

38776137120 is a `hidden beast` number, since 3 + 8 + 7 + 7 + 613 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38776137121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4218930 + ... + 4228110.

It is an arithmetic number, because the mean of its divisors is an integer number (526404060).

Almost surely, 2^38776137120 is an apocalyptic number.

38776137120 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 38776137120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75802184640).

38776137120 is an abundant number, since it is smaller than the sum of its proper divisors (112828232160).

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

38776137120 is a wasteful number, since it uses less digits than its factorization.

38776137120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9628 (or 9617 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 38776137120 in words is "thirty-eight billion, seven hundred seventy-six million, one hundred thirty-seven thousand, one hundred twenty".