38331468240 has 160 divisors (see below), whose sum is σ = 128358201216. Its totient is φ = 9406679040.

The previous prime is 38331468211. The next prime is 38331468269. The reversal of 38331468240 is 4286413383.

It is an interprime number because it is at equal distance from previous prime (38331468211) and next prime (38331468269).

It is a junction number, because it is equal to n+sod(n) for n = 38331468192 and 38331468201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1014162 + ... + 1051278.

Almost surely, 2^38331468240 is an apocalyptic number.

38331468240 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 38331468240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64179100608).

38331468240 is an abundant number, since it is smaller than the sum of its proper divisors (90026732976).

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

38331468240 is a wasteful number, since it uses less digits than its factorization.

38331468240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37477 (or 37471 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 38331468240 in words is "thirty-eight billion, three hundred thirty-one million, four hundred sixty-eight thousand, two hundred forty".