3557960 has 64 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 1198080.

The previous prime is 3557951. The next prime is 3557977. The reversal of 3557960 is 697553.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3557960.

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, 27095 + ... + 27225.

It is an arithmetic number, because the mean of its divisors is an integer number (145530).

Almost surely, 2^3557960 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 3557960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

3557960 is an abundant number, since it is smaller than the sum of its proper divisors (5755960).

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

3557960 is a wasteful number, since it uses less digits than its factorization.

3557960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 35.

The square root of 3557960 is about 1886.2555500250. The cubic root of 3557960 is about 152.6629629437.

The spelling of 3557960 in words is "three million, five hundred fifty-seven thousand, nine hundred sixty".