3768336405 has 48 divisors (see below), whose sum is σ = 7070506560. Its totient is φ = 1903976928.

The previous prime is 3768336391. The next prime is 3768336487. The reversal of 3768336405 is 5046338673.

It is not a de Polignac number, because 3768336405 - 2⁸ = 3768336149 is a prime.

It is a super-2 number, since 2×3768336405² = 28400718522496648050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10074 + ... + 87396.

It is an arithmetic number, because the mean of its divisors is an integer number (147302220).

Almost surely, 2^3768336405 is an apocalyptic number.

It is an amenable number.

3768336405 is a deficient number, since it is larger than the sum of its proper divisors (3302170155).

3768336405 is a wasteful number, since it uses less digits than its factorization.

3768336405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77375 (or 77350 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3768336405 is about 61386.7771185294. Note that the first 3 decimals coincide. The cubic root of 3768336405 is about 1556.1443801160.

It can be divided in two parts, 37683 and 36405, that added together give a cube (74088 = 42³).

The spelling of 3768336405 in words is "three billion, seven hundred sixty-eight million, three hundred thirty-six thousand, four hundred five".