38282414940 has 384 divisors, whose sum is σ = 149022720000. Its totient is φ = 7926232320.

The previous prime is 38282414921. The next prime is 38282414981. The reversal of 38282414940 is 4941428283.

38282414940 is a `hidden beast` number, since 3 + 82 + 82 + 4 + 1 + 494 + 0 = 666.

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, 12763561 + ... + 12766559.

It is an arithmetic number, because the mean of its divisors is an integer number (388080000).

Almost surely, 2^38282414940 is an apocalyptic number.

38282414940 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 38282414940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74511360000).

38282414940 is an abundant number, since it is smaller than the sum of its proper divisors (110740305060).

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

38282414940 is a wasteful number, since it uses less digits than its factorization.

38282414940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 38282414940 in words is "thirty-eight billion, two hundred eighty-two million, four hundred fourteen thousand, nine hundred forty".