3688278577152 has 208 divisors, whose sum is σ = 10764332788608. Its totient is φ = 1116247818240.

The previous prime is 3688278577141. The next prime is 3688278577189. The reversal of 3688278577152 is 2517758728863.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×3688278577152² (a number of 26 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 9555133 + ... + 9933635.

Almost surely, 2^{3688278577152} is an apocalyptic number.

3688278577152 is a gapful number since it is divisible by the number (32) 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 3688278577152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5382166394304).

3688278577152 is an abundant number, since it is smaller than the sum of its proper divisors (7076054211456).

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

3688278577152 is a wasteful number, since it uses less digits than its factorization.

3688278577152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378604 (or 378582 counting only the distinct ones).

The product of its digits is 316108800, while the sum is 69.

The spelling of 3688278577152 in words is "three trillion, six hundred eighty-eight billion, two hundred seventy-eight million, five hundred seventy-seven thousand, one hundred fifty-two".