3673506816 has 616 divisors, whose sum is σ = 13603215680. Its totient is φ = 967458816.

The previous prime is 3673506799. The next prime is 3673506817. The reversal of 3673506816 is 6186053763.

3673506816 is a `hidden beast` number, since 3 + 67 + 3 + 506 + 81 + 6 = 666.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673506817) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 99283950 + ... + 99283986.

Almost surely, 2^3673506816 is an apocalyptic number.

3673506816 is a gapful number since it is divisible by the number (36) 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 3673506816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801607840).

3673506816 is an abundant number, since it is smaller than the sum of its proper divisors (9929708864).

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

3673506816 is an equidigital number, since it uses as much as digits as its factorization.

3673506816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3673506816 is about 60609.4614396135. The cubic root of 3673506816 is about 1542.9799521291.

The spelling of 3673506816 in words is "three billion, six hundred seventy-three million, five hundred six thousand, eight hundred sixteen".