3646236078144 has 315 divisors, whose sum is σ = 11885441554063. Its totient is φ = 1104461740800.

The previous prime is 3646236078101. The next prime is 3646236078167. The reversal of 3646236078144 is 4418706326463.

The square root of 3646236078144 is 1909512.

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

3646236078144 is a `hidden beast` number, since 3 + 6 + 4 + 6 + 23 + 607 + 8 + 1 + 4 + 4 = 666.

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

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 1512332299 + ... + 1512334709.

Almost surely, 2^{3646236078144} is an apocalyptic number.

3646236078144 is the 1909512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3646236078144

3646236078144 is an abundant number, since it is smaller than the sum of its proper divisors (8239205475919).

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

3646236078144 is an frugal number, since it uses more digits than its factorization.

3646236078144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 3646236078144 in words is "three trillion, six hundred forty-six billion, two hundred thirty-six million, seventy-eight thousand, one hundred forty-four".