38799217440 has 144 divisors (see below), whose sum is σ = 132580958328. Its totient is φ = 10332499968.

The previous prime is 38799217397. The next prime is 38799217451. The reversal of 38799217440 is 4471299783.

38799217440 is a `hidden beast` number, since 38 + 79 + 92 + 17 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23442059664 + 15357157776 = 153108^2 + 123924^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×38799217440³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1072284 + ... + 1107876.

Almost surely, 2^38799217440 is an apocalyptic number.

38799217440 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 38799217440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66290479164).

38799217440 is an abundant number, since it is smaller than the sum of its proper divisors (93781740888).

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

38799217440 is a wasteful number, since it uses less digits than its factorization.

38799217440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36371 (or 36360 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 38799217440 in words is "thirty-eight billion, seven hundred ninety-nine million, two hundred seventeen thousand, four hundred forty".