38652279840 has 672 divisors, whose sum is σ = 147158844336. Its totient is φ = 9555148800.

The previous prime is 38652279821. The next prime is 38652279923. The reversal of 38652279840 is 4897225683.

38652279840 is a `hidden beast` number, since 3 + 8 + 6 + 522 + 79 + 8 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 28058930064 + 10593349776 = 167508^2 + 102924^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 200270784 + ... + 200270976.

Almost surely, 2^38652279840 is an apocalyptic number.

38652279840 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 38652279840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73579422168).

38652279840 is an abundant number, since it is smaller than the sum of its proper divisors (108506564496).

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

38652279840 is a wasteful number, since it uses less digits than its factorization.

38652279840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 38652279840 in words is "thirty-eight billion, six hundred fifty-two million, two hundred seventy-nine thousand, eight hundred forty".