38243953440 has 768 divisors, whose sum is σ = 176725463040. Its totient is φ = 7478231040.

The previous prime is 38243953399. The next prime is 38243953471. The reversal of 38243953440 is 4435934283.

38243953440 is a `hidden beast` number, since 3 + 82 + 4 + 39 + 534 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5651499 + ... + 5658261.

It is an arithmetic number, because the mean of its divisors is an integer number (230111280).

Almost surely, 2^38243953440 is an apocalyptic number.

38243953440 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 38243953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88362731520).

38243953440 is an abundant number, since it is smaller than the sum of its proper divisors (138481509600).

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

38243953440 is a wasteful number, since it uses less digits than its factorization.

38243953440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6822 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 38243953440 in words is "thirty-eight billion, two hundred forty-three million, nine hundred fifty-three thousand, four hundred forty".