38149332480 has 640 divisors, whose sum is σ = 159128386560. Its totient is φ = 8480194560.

The previous prime is 38149332461. The next prime is 38149332491. The reversal of 38149332480 is 8423394183.

38149332480 is a `hidden beast` number, since 3 + 81 + 4 + 93 + 3 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17901015 + ... + 17903145.

It is an arithmetic number, because the mean of its divisors is an integer number (248638104).

Almost surely, 2^38149332480 is an apocalyptic number.

38149332480 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 38149332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79564193280).

38149332480 is an abundant number, since it is smaller than the sum of its proper divisors (120979054080).

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

38149332480 is a wasteful number, since it uses less digits than its factorization.

38149332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 38149332480 in words is "thirty-eight billion, one hundred forty-nine million, three hundred thirty-two thousand, four hundred eighty".