38728216800 has 2304 divisors, whose sum is σ = 195287500800. Its totient is φ = 7166361600.

The previous prime is 38728216777. The next prime is 38728216823. The reversal of 38728216800 is 861282783.

It is an interprime number because it is at equal distance from previous prime (38728216777) and next prime (38728216823).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 634888770 + ... + 634888830.

It is an arithmetic number, because the mean of its divisors is an integer number (84760200).

Almost surely, 2^38728216800 is an apocalyptic number.

38728216800 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 38728216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97643750400).

38728216800 is an abundant number, since it is smaller than the sum of its proper divisors (156559284000).

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

38728216800 is a wasteful number, since it uses less digits than its factorization.

38728216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 38728216800 in words is "thirty-eight billion, seven hundred twenty-eight million, two hundred sixteen thousand, eight hundred".