3657114360 has 160 divisors (see below), whose sum is σ = 12323385360. Its totient is φ = 972739584.

The previous prime is 3657114323. The next prime is 3657114389. The reversal of 3657114360 is 634117563.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1511872 + ... + 1514288.

Almost surely, 2^3657114360 is an apocalyptic number.

3657114360 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 3657114360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6161692680).

3657114360 is an abundant number, since it is smaller than the sum of its proper divisors (8666271000).

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

3657114360 is a wasteful number, since it uses less digits than its factorization.

3657114360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3657114360 is about 60474.0800674140. The cubic root of 3657114360 is about 1540.6814266630.

The spelling of 3657114360 in words is "three billion, six hundred fifty-seven million, one hundred fourteen thousand, three hundred sixty".