3768508074240 has 1728 divisors, whose sum is σ = 16747288276992. Its totient is φ = 790091366400.

The previous prime is 3768508074223. The next prime is 3768508074241. The reversal of 3768508074240 is 424708058673.

3768508074240 is a `hidden beast` number, since 3 + 7 + 68 + 508 + 0 + 74 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×3768508074240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3768508074241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5972278725 + ... + 5972279355.

Almost surely, 2^{3768508074240} is an apocalyptic number.

3768508074240 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 3768508074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8373644138496).

3768508074240 is an abundant number, since it is smaller than the sum of its proper divisors (12978780202752).

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

3768508074240 is a wasteful number, since it uses less digits than its factorization.

3768508074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 3768508074240 in words is "three trillion, seven hundred sixty-eight billion, five hundred eight million, seventy-four thousand, two hundred forty".