3537820 has 48 divisors (see below), whose sum is σ = 8735328. Its totient is φ = 1186560.

The previous prime is 3537811. The next prime is 3537823. The reversal of 3537820 is 287353.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3537823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2242 + ... + 3478.

It is an arithmetic number, because the mean of its divisors is an integer number (181986).

Almost surely, 2^3537820 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 3537820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367664).

3537820 is an abundant number, since it is smaller than the sum of its proper divisors (5197508).

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

3537820 is a wasteful number, since it uses less digits than its factorization.

3537820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 3537820 is about 1880.9093545410. The cubic root of 3537820 is about 152.3743657557.

The spelling of 3537820 in words is "three million, five hundred thirty-seven thousand, eight hundred twenty".