38715828028416 has 2640 divisors, whose sum is σ = 155340409297920. Its totient is φ = 9380767334400.

The previous prime is 38715828028411. The next prime is 38715828028417. The reversal of 38715828028416 is 61482082851783.

38715828028416 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 582 + 8 + 0 + 2 + 8 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38715828028411) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 63157957326 + ... + 63157957938.

It is an arithmetic number, because the mean of its divisors is an integer number (58841064128).

Almost surely, 2^{38715828028416} is an apocalyptic number.

38715828028416 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 38715828028416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77670204648960).

38715828028416 is an abundant number, since it is smaller than the sum of its proper divisors (116624581269504).

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

38715828028416 is a wasteful number, since it uses less digits than its factorization.

38715828028416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 38715828028416 in words is "thirty-eight trillion, seven hundred fifteen billion, eight hundred twenty-eight million, twenty-eight thousand, four hundred sixteen".