38429614080 has 1008 divisors, whose sum is σ = 162514903824. Its totient is φ = 8599633920.

The previous prime is 38429614079. The next prime is 38429614081. The reversal of 38429614080 is 8041692483.

It is a happy number.

38429614080 is a `hidden beast` number, since 3 + 8 + 4 + 29 + 614 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38429614079) and next prime (38429614081).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38429614081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2956124154 + ... + 2956124166.

It is an arithmetic number, because the mean of its divisors is an integer number (161225103).

Almost surely, 2^38429614080 is an apocalyptic number.

38429614080 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 38429614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81257451912).

38429614080 is an abundant number, since it is smaller than the sum of its proper divisors (124085289744).

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

38429614080 is an frugal number, since it uses more digits than its factorization.

38429614080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 38429614080 in words is "thirty-eight billion, four hundred twenty-nine million, six hundred fourteen thousand, eighty".