3536940 has 96 divisors (see below), whose sum is σ = 11321856. Its totient is φ = 816640.

The previous prime is 3536933. The next prime is 3536957. The reversal of 3536940 is 496353.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 3 + 5³ + 3¹³ + 6⁸ + 9³ + 4⁹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3536898 and 3536907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15064 + ... + 15296.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

Almost surely, 2^3536940 is an apocalyptic number.

3536940 is a gapful number since it is divisible by the number (30) 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 3536940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928).

3536940 is an abundant number, since it is smaller than the sum of its proper divisors (7784916).

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

3536940 is a wasteful number, since it uses less digits than its factorization.

3536940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 3536940 is about 1880.6754105906. The cubic root of 3536940 is about 152.3617308034.

The spelling of 3536940 in words is "three million, five hundred thirty-six thousand, nine hundred forty".