38143429632 has 1408 divisors, whose sum is σ = 158467276800. Its totient is φ = 8758886400.

The previous prime is 38143429559. The next prime is 38143429663. The reversal of 38143429632 is 23692434183.

38143429632 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 3 + 4 + 2 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 930327532 + ... + 930327572.

Almost surely, 2^38143429632 is an apocalyptic number.

38143429632 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 38143429632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79233638400).

38143429632 is an abundant number, since it is smaller than the sum of its proper divisors (120323847168).

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

38143429632 is a wasteful number, since it uses less digits than its factorization.

38143429632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 38143429632 in words is "thirty-eight billion, one hundred forty-three million, four hundred twenty-nine thousand, six hundred thirty-two".