38466267840 has 1008 divisors, whose sum is σ = 179137568064. Its totient is φ = 7372062720.

The previous prime is 38466267823. The next prime is 38466267859. The reversal of 38466267840 is 4876266483.

38466267840 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 626 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31711074 + ... + 31712286.

Almost surely, 2^38466267840 is an apocalyptic number.

38466267840 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 38466267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89568784032).

38466267840 is an abundant number, since it is smaller than the sum of its proper divisors (140671300224).

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

38466267840 is a wasteful number, since it uses less digits than its factorization.

38466267840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 38466267840 in words is "thirty-eight billion, four hundred sixty-six million, two hundred sixty-seven thousand, eight hundred forty".