38142959616 has 224 divisors, whose sum is σ = 114458191200. Its totient is φ = 12708347904.

The previous prime is 38142959611. The next prime is 38142959633. The reversal of 38142959616 is 61695924183.

38142959616 is a `hidden beast` number, since 3 + 8 + 1 + 42 + 9 + 596 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38142959611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17914840 + ... + 17916968.

Almost surely, 2^38142959616 is an apocalyptic number.

38142959616 is a gapful number since it is divisible by the number (36) 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 38142959616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57229095600).

38142959616 is an abundant number, since it is smaller than the sum of its proper divisors (76315231584).

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

38142959616 is an frugal number, since it uses more digits than its factorization.

38142959616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2134 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 38142959616 in words is "thirty-eight billion, one hundred forty-two million, nine hundred fifty-nine thousand, six hundred sixteen".