38149816320 has 960 divisors, whose sum is σ = 172134072000. Its totient is φ = 7927234560.

The previous prime is 38149816307. The next prime is 38149816321. The reversal of 38149816320 is 2361894183.

38149816320 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 9 + 8 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38149816321) 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, 3468165115 + ... + 3468165125.

It is an arithmetic number, because the mean of its divisors is an integer number (179306325).

Almost surely, 2^38149816320 is an apocalyptic number.

38149816320 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 38149816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86067036000).

38149816320 is an abundant number, since it is smaller than the sum of its proper divisors (133984255680).

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

38149816320 is an frugal number, since it uses more digits than its factorization.

38149816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 38149816320 in words is "thirty-eight billion, one hundred forty-nine million, eight hundred sixteen thousand, three hundred twenty".