3765152016 has 60 divisors (see below), whose sum is σ = 10794217980. Its totient is φ = 1224437760.

The previous prime is 3765151997. The next prime is 3765152023. The reversal of 3765152016 is 6102515673.

3765152016 is a `hidden beast` number, since 3 + 76 + 51 + 520 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114575616 + 3650576400 = 10704^2 + 60420^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312961 + ... + 324768.

It is an arithmetic number, because the mean of its divisors is an integer number (179903633).

Almost surely, 2^3765152016 is an apocalyptic number.

3765152016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3765152016 is an abundant number, since it is smaller than the sum of its proper divisors (7029065964).

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

3765152016 is a wasteful number, since it uses less digits than its factorization.

3765152016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637784 (or 637775 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 3765152016 is about 61360.8345445203. The cubic root of 3765152016 is about 1555.7059226647.

Adding to 3765152016 its reverse (6102515673), we get a palindrome (9867667689).

The spelling of 3765152016 in words is "three billion, seven hundred sixty-five million, one hundred fifty-two thousand, sixteen".