38132617140 has 36 divisors (see below), whose sum is σ = 115668939204. Its totient is φ = 10168697856.

The previous prime is 38132617139. The next prime is 38132617151. The reversal of 38132617140 is 4171623183.

It is a happy number.

38132617140 is a `hidden beast` number, since 3 + 8 + 1 + 32 + 617 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7852440996 + 30280176144 = 88614^2 + 174012^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38132617095 and 38132617104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105923757 + ... + 105924116.

It is an arithmetic number, because the mean of its divisors is an integer number (3213026089).

Almost surely, 2^38132617140 is an apocalyptic number.

38132617140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38132617140 is an abundant number, since it is smaller than the sum of its proper divisors (77536322064).

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

38132617140 is a wasteful number, since it uses less digits than its factorization.

38132617140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211847888 (or 211847883 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 38132617140 in words is "thirty-eight billion, one hundred thirty-two million, six hundred seventeen thousand, one hundred forty".