3657120 has 96 divisors (see below), whose sum is σ = 12156480. Its totient is φ = 921600.

The previous prime is 3657119. The next prime is 3657131. The reversal of 3657120 is 217563.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8920 + ... + 9320.

It is an arithmetic number, because the mean of its divisors is an integer number (126630).

Almost surely, 2^3657120 is an apocalyptic number.

3657120 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 3657120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078240).

3657120 is an abundant number, since it is smaller than the sum of its proper divisors (8499360).

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

3657120 is a wasteful number, since it uses less digits than its factorization.

3657120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 3657120 is about 1912.3597987826. The cubic root of 3657120 is about 154.0682218675.

The spelling of 3657120 in words is "three million, six hundred fifty-seven thousand, one hundred twenty".