3778506638511 has 48 divisors (see below), whose sum is σ = 5863954112352. Its totient is φ = 2155090544640.

The previous prime is 3778506638509. The next prime is 3778506638539. The reversal of 3778506638511 is 1158366058773.

It is a happy number.

It is not a de Polignac number, because 3778506638511 - 2¹ = 3778506638509 is a prime.

It is a super-2 number, since 2×3778506638511² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3778506638561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83143851 + ... + 83189283.

It is an arithmetic number, because the mean of its divisors is an integer number (122165710674).

Almost surely, 2^{3778506638511} is an apocalyptic number.

3778506638511 is a deficient number, since it is larger than the sum of its proper divisors (2085447473841).

3778506638511 is a wasteful number, since it uses less digits than its factorization.

3778506638511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58952 (or 58941 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 3778506638511 in words is "three trillion, seven hundred seventy-eight billion, five hundred six million, six hundred thirty-eight thousand, five hundred eleven".