3554129664 has 432 divisors, whose sum is σ = 11666170880. Its totient is φ = 1074954240.

The previous prime is 3554129647. The next prime is 3554129669. The reversal of 3554129664 is 4669214553.

3554129664 is a `hidden beast` number, since 3 + 554 + 1 + 2 + 96 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3554129669) 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 47 ways as a sum of consecutive naturals, for example, 36640464 + ... + 36640560.

Almost surely, 2^3554129664 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 3554129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5833085440).

3554129664 is an abundant number, since it is smaller than the sum of its proper divisors (8112041216).

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

3554129664 is an equidigital number, since it uses as much as digits as its factorization.

3554129664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 152 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 3554129664 is about 59616.5217368474. The cubic root of 3554129664 is about 1526.0815996610.

The spelling of 3554129664 in words is "three billion, five hundred fifty-four million, one hundred twenty-nine thousand, six hundred sixty-four".