3678601249024 has 81 divisors (see below), whose sum is σ = 7951977359319. Its totient is φ = 1697631836160.

The previous prime is 3678601248979. The next prime is 3678601249027. The reversal of 3678601249024 is 4209421068763.

The square root of 3678601249024 is 1917968.

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

It can be written as a sum of positive squares in 4 ways, for example, as 38259360000 + 3640341889024 = 195600^2 + 1907968^2 .

It is a Smith number, since the sum of its digits (52) 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 (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3678601249027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 398932734 + ... + 398941954.

Almost surely, 2^{3678601249024} is an apocalyptic number.

3678601249024 is the 1917968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3678601249024

3678601249024 is an abundant number, since it is smaller than the sum of its proper divisors (4273376110295).

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

3678601249024 is an frugal number, since it uses more digits than its factorization.

3678601249024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18484 (or 9236 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 3678601249024 in words is "three trillion, six hundred seventy-eight billion, six hundred one million, two hundred forty-nine thousand, twenty-four".