3661151360 has 64 divisors (see below), whose sum is σ = 8772132600. Its totient is φ = 1461166080.

The previous prime is 3661151357. The next prime is 3661151419. The reversal of 3661151360 is 631511663.

It can be written as a sum of positive squares in 4 ways, for example, as 1538522176 + 2122629184 = 39224^2 + 46072^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288836 + ... + 301244.

Almost surely, 2^3661151360 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 3661151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386066300).

3661151360 is an abundant number, since it is smaller than the sum of its proper divisors (5110981240).

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

3661151360 is a wasteful number, since it uses less digits than its factorization.

3661151360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12889 (or 12877 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 3661151360 is about 60507.4487976480. The cubic root of 3661151360 is about 1541.2481251678.

The spelling of 3661151360 in words is "three billion, six hundred sixty-one million, one hundred fifty-one thousand, three hundred sixty".