3537954 has 48 divisors (see below), whose sum is σ = 8978112. Its totient is φ = 985824.

The previous prime is 3537953. The next prime is 3537959. The reversal of 3537954 is 4597353.

3537954 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3537954² = 25034237012232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

3537954 is strictly pandigital in base 8.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3537953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5092 + ... + 5744.

It is an arithmetic number, because the mean of its divisors is an integer number (187044).

Almost surely, 2^3537954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3537954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489056).

3537954 is an abundant number, since it is smaller than the sum of its proper divisors (5440158).

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

3537954 is a wasteful number, since it uses less digits than its factorization.

3537954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 708 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 3537954 is about 1880.9449752717. The cubic root of 3537954 is about 152.3762895306.

The spelling of 3537954 in words is "three million, five hundred thirty-seven thousand, nine hundred fifty-four".