38946897360 has 720 divisors, whose sum is σ = 160266617280. Its totient is φ = 8667509760.

The previous prime is 38946897323. The next prime is 38946897373. The reversal of 38946897360 is 6379864983.

38946897360 is a `hidden beast` number, since 3 + 89 + 468 + 97 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×38946897360³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 297304495 + ... + 297304625.

It is an arithmetic number, because the mean of its divisors is an integer number (222592524).

Almost surely, 2^38946897360 is an apocalyptic number.

38946897360 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 38946897360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80133308640).

38946897360 is an abundant number, since it is smaller than the sum of its proper divisors (121319719920).

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

38946897360 is a wasteful number, since it uses less digits than its factorization.

38946897360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 38946897360 in words is "thirty-eight billion, nine hundred forty-six million, eight hundred ninety-seven thousand, three hundred sixty".