3644250456064 has 51 divisors (see below), whose sum is σ = 7289422832797. Its totient is φ = 1821880877056.

The previous prime is 3644250456029. The next prime is 3644250456071. The reversal of 3644250456064 is 4606540524463.

The square root of 3644250456064 is 1908992.

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

It can be written as a sum of positive squares in only one way, i.e., 1098974822400 + 2545275633664 = 1048320^2 + 1595392^2 .

It is a super-2 number, since 2×3644250456064² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3644250455999 and 3644250456017.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 488698224 + ... + 488705680.

Almost surely, 2^{3644250456064} is an apocalyptic number.

3644250456064 is the 1908992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3644250456064

3644250456064 is an abundant number, since it is smaller than the sum of its proper divisors (3645172376733).

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

3644250456064 is an frugal number, since it uses more digits than its factorization.

3644250456064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14946 (or 7459 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 49.

Multiplying 3644250456064 by its sum of digits (49), we get a square (178568272347136 = 13362944²).

The spelling of 3644250456064 in words is "three trillion, six hundred forty-four billion, two hundred fifty million, four hundred fifty-six thousand, sixty-four".