3651153768 has 144 divisors (see below), whose sum is σ = 10405214820. Its totient is φ = 1156497408.

The previous prime is 3651153739. The next prime is 3651153769. The reversal of 3651153768 is 8673511563.

3651153768 is a `hidden beast` number, since 3 + 6 + 51 + 1 + 537 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3216931524 + 434222244 = 56718^2 + 20838^2 .

It is not an unprimeable number, because it can be changed into a prime (3651153769) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9788430 + ... + 9788802.

Almost surely, 2^3651153768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3651153768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202607410).

3651153768 is an abundant number, since it is smaller than the sum of its proper divisors (6754061052).

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

3651153768 is a wasteful number, since it uses less digits than its factorization.

3651153768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 658 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 3651153768 is about 60424.7777654167. Note that the first 4 decimals coincide. The cubic root of 3651153768 is about 1539.8439387591.

It can be divided in two parts, 3651153 and 768, that added together give a square (3651921 = 1911²).

The spelling of 3651153768 in words is "three billion, six hundred fifty-one million, one hundred fifty-three thousand, seven hundred sixty-eight".