3661127424 has 216 divisors, whose sum is σ = 11037477360. Its totient is φ = 1210318848.

The previous prime is 3661127411. The next prime is 3661127441. The reversal of 3661127424 is 4247211663.

3661127424 is a `hidden beast` number, since 36 + 611 + 2 + 7 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14245504 + ... + 14245760.

Almost surely, 2^3661127424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3661127424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518738680).

3661127424 is an abundant number, since it is smaller than the sum of its proper divisors (7376349936).

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

3661127424 is an equidigital number, since it uses as much as digits as its factorization.

3661127424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 491 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3661127424 is about 60507.2510034954. The cubic root of 3661127424 is about 1541.2447663523.

The spelling of 3661127424 in words is "three billion, six hundred sixty-one million, one hundred twenty-seven thousand, four hundred twenty-four".