3557376 has 72 divisors (see below), whose sum is σ = 10327590. Its totient is φ = 1179648.

The previous prime is 3557339. The next prime is 3557377. The reversal of 3557376 is 6737553.

It can be written as a sum of positive squares in only one way, i.e., 3326976 + 230400 = 1824^2 + 480^2 .

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 Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3557376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3557377) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18336 + ... + 18528.

Almost surely, 2^3557376 is an apocalyptic number.

3557376 is a gapful number since it is divisible by the number (36) 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 3557376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163795).

3557376 is an abundant number, since it is smaller than the sum of its proper divisors (6770214).

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

3557376 is a wasteful number, since it uses less digits than its factorization.

3557376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its digits is 66150, while the sum is 36.

The square root of 3557376 is about 1886.1007396213. The cubic root of 3557376 is about 152.6546098380.

The spelling of 3557376 in words is "three million, five hundred fifty-seven thousand, three hundred seventy-six".