3549428640 has 288 divisors, whose sum is σ = 13201392960. Its totient is φ = 890523648.

The previous prime is 3549428633. The next prime is 3549428651. The reversal of 3549428640 is 468249453.

3549428640 is a `hidden beast` number, since 3 + 549 + 42 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1247059 + ... + 1249901.

It is an arithmetic number, because the mean of its divisors is an integer number (45838170).

Almost surely, 2^3549428640 is an apocalyptic number.

3549428640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3549428640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6600696480).

3549428640 is an abundant number, since it is smaller than the sum of its proper divisors (9651964320).

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

3549428640 is a wasteful number, since it uses less digits than its factorization.

3549428640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3549428640 is about 59577.0814995162. The cubic root of 3549428640 is about 1525.4084567450.

The spelling of 3549428640 in words is "three billion, five hundred forty-nine million, four hundred twenty-eight thousand, six hundred forty".