3768436032516 has 243 divisors, whose sum is σ = 10360297495093. Its totient is φ = 1199224128960.

The previous prime is 3768436032443. The next prime is 3768436032521. The reversal of 3768436032516 is 6152306348673.

The square root of 3768436032516 is 1941246.

It is a perfect power (a square), and thus also a powerful number.

3768436032516 is a `hidden beast` number, since 3 + 7 + 6 + 8 + 4 + 3 + 603 + 25 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1080672518916 + 2687763513600 = 1039554^2 + 1639440^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a super-2 number, since 2×3768436032516² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7233082336 + ... + 7233082856.

Almost surely, 2^{3768436032516} is an apocalyptic number.

3768436032516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3768436032516 is the 1941246-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3768436032516

3768436032516 is an abundant number, since it is smaller than the sum of its proper divisors (6591861462577).

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

3768436032516 is an frugal number, since it uses more digits than its factorization.

3768436032516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 3768436032516 in words is "three trillion, seven hundred sixty-eight billion, four hundred thirty-six million, thirty-two thousand, five hundred sixteen".