38314128240 has 240 divisors, whose sum is σ = 131679250560. Its totient is φ = 9980006400.

The previous prime is 38314128133. The next prime is 38314128257. The reversal of 38314128240 is 4282141383.

It is a happy number.

38314128240 is a `hidden beast` number, since 383 + 14 + 1 + 28 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38314128195 and 38314128204.

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 47 ways as a sum of consecutive naturals, for example, 9118140 + ... + 9122340.

It is an arithmetic number, because the mean of its divisors is an integer number (548663544).

Almost surely, 2^38314128240 is an apocalyptic number.

38314128240 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 38314128240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65839625280).

38314128240 is an abundant number, since it is smaller than the sum of its proper divisors (93365122320).

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

38314128240 is a wasteful number, since it uses less digits than its factorization.

38314128240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 38314128240 in words is "thirty-eight billion, three hundred fourteen million, one hundred twenty-eight thousand, two hundred forty".