3642540 has 48 divisors (see below), whose sum is σ = 11128320. Its totient is φ = 882880.

The previous prime is 3642497. The next prime is 3642559. The reversal of 3642540 is 452463.

It is a self number, because there is not a number n which added to its sum of digits gives 3642540.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2100 + ... + 3419.

It is an arithmetic number, because the mean of its divisors is an integer number (231840).

Almost surely, 2^3642540 is an apocalyptic number.

3642540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3642540 is an abundant number, since it is smaller than the sum of its proper divisors (7485780).

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

3642540 is a wasteful number, since it uses less digits than its factorization.

3642540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5540 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3642540 is about 1908.5439476208. The cubic root of 3642540 is about 153.8632056741.

The spelling of 3642540 in words is "three million, six hundred forty-two thousand, five hundred forty".