38378950632 has 256 divisors, whose sum is σ = 121711507200. Its totient is φ = 11100810240.

The previous prime is 38378950607. The next prime is 38378950633. The reversal of 38378950632 is 23605987383.

38378950632 is a `hidden beast` number, since 38 + 3 + 78 + 9 + 506 + 32 = 666.

It is a super-2 number, since 2×38378950632² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38378950633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4655218 + ... + 4663454.

It is an arithmetic number, because the mean of its divisors is an integer number (475435575).

Almost surely, 2^38378950632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38378950632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60855753600).

38378950632 is an abundant number, since it is smaller than the sum of its proper divisors (83332556568).

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

38378950632 is a wasteful number, since it uses less digits than its factorization.

38378950632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8353 (or 8343 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 38378950632 in words is "thirty-eight billion, three hundred seventy-eight million, nine hundred fifty thousand, six hundred thirty-two".