3638388378240 has 2560 divisors, whose sum is σ = 16929637908480. Its totient is φ = 731640729600.

The previous prime is 3638388378199. The next prime is 3638388378307. The reversal of 3638388378240 is 428738838363.

It is a happy number.

3638388378240 is a `hidden beast` number, since 3 + 6 + 3 + 8 + 388 + 3 + 7 + 8 + 240 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 319 ways as a sum of consecutive naturals, for example, 117367367025 + ... + 117367367055.

It is an arithmetic number, because the mean of its divisors is an integer number (6613139808).

Almost surely, 2^{3638388378240} is an apocalyptic number.

3638388378240 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 3638388378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8464818954240).

3638388378240 is an abundant number, since it is smaller than the sum of its proper divisors (13291249530240).

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

3638388378240 is an frugal number, since it uses more digits than its factorization.

3638388378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 3638388378240 in words is "three trillion, six hundred thirty-eight billion, three hundred eighty-eight million, three hundred seventy-eight thousand, two hundred forty".