3738208481280 has 2496 divisors, whose sum is σ = 16775151224832. Its totient is φ = 749123665920.

The previous prime is 3738208481269. The next prime is 3738208481317. The reversal of 3738208481280 is 821848028373.

3738208481280 is a `hidden beast` number, since 3 + 7 + 3 + 82 + 0 + 8 + 481 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×3738208481280² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51208335324 + ... + 51208335396.

It is an arithmetic number, because the mean of its divisors is an integer number (6720813792).

Almost surely, 2^{3738208481280} is an apocalyptic number.

3738208481280 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 3738208481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8387575612416).

3738208481280 is an abundant number, since it is smaller than the sum of its proper divisors (13036942743552).

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

3738208481280 is a wasteful number, since it uses less digits than its factorization.

3738208481280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 3738208481280 in words is "three trillion, seven hundred thirty-eight billion, two hundred eight million, four hundred eighty-one thousand, two hundred eighty".