3653138160 has 360 divisors, whose sum is σ = 15113447856. Its totient is φ = 785756160.

The previous prime is 3653138141. The next prime is 3653138191. The reversal of 3653138160 is 618313563.

It is a happy number.

3653138160 is a `hidden beast` number, since 36 + 531 + 38 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 596715 + ... + 602805.

Almost surely, 2^3653138160 is an apocalyptic number.

3653138160 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 3653138160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7556723928).

3653138160 is an abundant number, since it is smaller than the sum of its proper divisors (11460309696).

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

3653138160 is a wasteful number, since it uses less digits than its factorization.

3653138160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6141 (or 6125 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3653138160 is about 60441.1958849260. The cubic root of 3653138160 is about 1540.1228552126.

It can be divided in two parts, 36531 and 38160, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 3653138160 in words is "three billion, six hundred fifty-three million, one hundred thirty-eight thousand, one hundred sixty".