3537840 has 40 divisors (see below), whose sum is σ = 10968048. Its totient is φ = 943360.

The previous prime is 3537827. The next prime is 3537841. The reversal of 3537840 is 487353.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 3537798 and 3537807.

It is not an unprimeable number, because it can be changed into a prime (3537841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7131 + ... + 7610.

Almost surely, 2^3537840 is an apocalyptic number.

3537840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3537840 is an abundant number, since it is smaller than the sum of its proper divisors (7430208).

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

3537840 is a wasteful number, since it uses less digits than its factorization.

3537840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14757 (or 14751 counting only the distinct ones).

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

The square root of 3537840 is about 1880.9146711108. The cubic root of 3537840 is about 152.3746528894.

The spelling of 3537840 in words is "three million, five hundred thirty-seven thousand, eight hundred forty".