3649608144 has 640 divisors, whose sum is σ = 14079098880. Its totient is φ = 877879296.

The previous prime is 3649608119. The next prime is 3649608227. The reversal of 3649608144 is 4418069463.

3649608144 is a `hidden beast` number, since 36 + 4 + 9 + 608 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×3649608144² = 26639279209502249472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3649608144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28737009 + ... + 28737135.

It is an arithmetic number, because the mean of its divisors is an integer number (21998592).

Almost surely, 2^3649608144 is an apocalyptic number.

3649608144 is a gapful number since it is divisible by the number (34) 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 3649608144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7039549440).

3649608144 is an abundant number, since it is smaller than the sum of its proper divisors (10429490736).

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

3649608144 is a wasteful number, since it uses less digits than its factorization.

3649608144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3649608144 is about 60411.9867575964. The cubic root of 3649608144 is about 1539.6266233734.

The spelling of 3649608144 in words is "three billion, six hundred forty-nine million, six hundred eight thousand, one hundred forty-four".