1649029536 has 288 divisors, whose sum is σ = 6105274560. Its totient is φ = 428198400.

The previous prime is 1649029519. The next prime is 1649029559. The reversal of 1649029536 is 6359209461.

1649029536 is a `hidden beast` number, since 1 + 6 + 4 + 90 + 29 + 536 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1649029491 and 1649029500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463926 + ... + 467466.

It is an arithmetic number, because the mean of its divisors is an integer number (21198870).

Almost surely, 2^1649029536 is an apocalyptic number.

1649029536 is a gapful number since it is divisible by the number (16) 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 1649029536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052637280).

1649029536 is an abundant number, since it is smaller than the sum of its proper divisors (4456245024).

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

1649029536 is a wasteful number, since it uses less digits than its factorization.

1649029536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 1649029536 is about 40608.2446801139. The cubic root of 1649029536 is about 1181.4340355238.

The spelling of 1649029536 in words is "one billion, six hundred forty-nine million, twenty-nine thousand, five hundred thirty-six".