3649950720 has 440 divisors, whose sum is σ = 14106270024. Its totient is φ = 897122304.

The previous prime is 3649950679. The next prime is 3649950767. The reversal of 3649950720 is 270599463.

It is a happy number.

3649950720 is a `hidden beast` number, since 36 + 4 + 99 + 507 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 780420096 + 2869530624 = 27936^2 + 53568^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5391022 + ... + 5391698.

Almost surely, 2^3649950720 is an apocalyptic number.

3649950720 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 3649950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053135012).

3649950720 is an abundant number, since it is smaller than the sum of its proper divisors (10456319304).

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

3649950720 is a wasteful number, since it uses less digits than its factorization.

3649950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3649950720 is about 60414.8220224143. The cubic root of 3649950720 is about 1539.6747949951.

The spelling of 3649950720 in words is "three billion, six hundred forty-nine million, nine hundred fifty thousand, seven hundred twenty".