38468214720 has 672 divisors, whose sum is σ = 158865295680. Its totient is φ = 8440381440.

The previous prime is 38468214683. The next prime is 38468214751. The reversal of 38468214720 is 2741286483.

It is a happy number.

38468214720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 12091530 + ... + 12094710.

It is an arithmetic number, because the mean of its divisors is an integer number (236406690).

Almost surely, 2^38468214720 is an apocalyptic number.

38468214720 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 38468214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79432647840).

38468214720 is an abundant number, since it is smaller than the sum of its proper divisors (120397080960).

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

38468214720 is a wasteful number, since it uses less digits than its factorization.

38468214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3240 counting only the distinct ones).

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

The spelling of 38468214720 in words is "thirty-eight billion, four hundred sixty-eight million, two hundred fourteen thousand, seven hundred twenty".