3601440144 has 75 divisors (see below), whose sum is σ = 10429869307. Its totient is φ = 1199759904.

The previous prime is 3601440127. The next prime is 3601440151. The reversal of 3601440144 is 4410441063.

The square root of 3601440144 is 60012.

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

3601440144 is a `hidden beast` number, since 3 + 601 + 4 + 40 + 14 + 4 = 666.

3601440144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3601440144² = 25940742221629481472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2159599 + ... + 2161265.

Almost surely, 2^3601440144 is an apocalyptic number.

3601440144 is the 60012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3601440144

3601440144 is an abundant number, since it is smaller than the sum of its proper divisors (6828429163).

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

3601440144 is an frugal number, since it uses more digits than its factorization.

3601440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The cubic root of 3601440144 is about 1532.8232071580.

The spelling of 3601440144 in words is "three billion, six hundred one million, four hundred forty thousand, one hundred forty-four".