3608464140 has 120 divisors (see below), whose sum is σ = 11338633152. Its totient is φ = 960664320.

The previous prime is 3608464103. The next prime is 3608464147. The reversal of 3608464140 is 414648063.

3608464140 is a `hidden beast` number, since 3 + 6 + 0 + 8 + 4 + 641 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3608464095 and 3608464104.

It is not an unprimeable number, because it can be changed into a prime (3608464147) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1231357 + ... + 1234283.

Almost surely, 2^3608464140 is an apocalyptic number.

3608464140 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 3608464140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669316576).

3608464140 is an abundant number, since it is smaller than the sum of its proper divisors (7730169012).

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

3608464140 is a wasteful number, since it uses less digits than its factorization.

3608464140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3608464140 is about 60070.4930893696. The cubic root of 3608464140 is about 1533.8190636101.

The spelling of 3608464140 in words is "three billion, six hundred eight million, four hundred sixty-four thousand, one hundred forty".