3642700 has 36 divisors (see below), whose sum is σ = 8029000. Its totient is φ = 1434240.

The previous prime is 3642697. The next prime is 3642701. The reversal of 3642700 is 72463.

It is not an unprimeable number, because it can be changed into a prime (3642701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7051 + ... + 7549.

Almost surely, 2^3642700 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 3642700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014500).

3642700 is an abundant number, since it is smaller than the sum of its proper divisors (4386300).

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

3642700 is a wasteful number, since it uses less digits than its factorization.

3642700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 3642700 is about 1908.5858639317. The cubic root of 3642700 is about 153.8654584750.

The spelling of 3642700 in words is "three million, six hundred forty-two thousand, seven hundred".