3557664 has 72 divisors (see below), whose sum is σ = 11046672. Its totient is φ = 1077120.

The previous prime is 3557647. The next prime is 3557681. The reversal of 3557664 is 4667553.

It is an interprime number because it is at equal distance from previous prime (3557647) and next prime (3557681).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2607 + ... + 3729.

It is an arithmetic number, because the mean of its divisors is an integer number (153426).

Almost surely, 2^3557664 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 3557664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5523336).

3557664 is an abundant number, since it is smaller than the sum of its proper divisors (7489008).

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

3557664 is a wasteful number, since it uses less digits than its factorization.

3557664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1139 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 3557664 is about 1886.1770860659. The cubic root of 3557664 is about 152.6587292920.

The spelling of 3557664 in words is "three million, five hundred fifty-seven thousand, six hundred sixty-four".