38214467280 has 640 divisors, whose sum is σ = 156210716160. Its totient is φ = 8480194560.

The previous prime is 38214467267. The next prime is 38214467299. The reversal of 38214467280 is 8276441283.

It is a happy number.

38214467280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 14943762 + ... + 14946318.

It is an arithmetic number, because the mean of its divisors is an integer number (244079244).

Almost surely, 2^38214467280 is an apocalyptic number.

38214467280 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 38214467280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78105358080).

38214467280 is an abundant number, since it is smaller than the sum of its proper divisors (117996248880).

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

38214467280 is a wasteful number, since it uses less digits than its factorization.

38214467280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 38214467280 in words is "thirty-eight billion, two hundred fourteen million, four hundred sixty-seven thousand, two hundred eighty".