38627377152 has 544 divisors, whose sum is σ = 135290437632. Its totient is φ = 9512681472.

The previous prime is 38627377147. The next prime is 38627377153. The reversal of 38627377152 is 25177372683.

It is a tau number, because it is divible by the number of its divisors (544).

It is a super-3 number, since 3×38627377152³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 38627377095 and 38627377104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38627377153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304152513 + ... + 304152639.

Almost surely, 2^38627377152 is an apocalyptic number.

38627377152 is a gapful number since it is divisible by the number (32) 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 38627377152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67645218816).

38627377152 is an abundant number, since it is smaller than the sum of its proper divisors (96663060480).

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

38627377152 is a wasteful number, since it uses less digits than its factorization.

38627377152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 169 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 51.

The spelling of 38627377152 in words is "thirty-eight billion, six hundred twenty-seven million, three hundred seventy-seven thousand, one hundred fifty-two".