3537408 has 120 divisors (see below), whose sum is σ = 11195712. Its totient is φ = 989184.

The previous prime is 3537407. The next prime is 3537421. The reversal of 3537408 is 8047353.

It is not an unprimeable number, because it can be changed into a prime (3537407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75241 + ... + 75287.

Almost surely, 2^3537408 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 3537408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5597856).

3537408 is an abundant number, since it is smaller than the sum of its proper divisors (7658304).

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

3537408 is an equidigital number, since it uses as much as digits as its factorization.

3537408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3537408 is about 1880.7998298596. The cubic root of 3537408 is about 152.3684505616.

The spelling of 3537408 in words is "three million, five hundred thirty-seven thousand, four hundred eight".