3642280 has 64 divisors (see below), whose sum is σ = 8864640. Its totient is φ = 1343232.

The previous prime is 3642269. The next prime is 3642299. The reversal of 3642280 is 822463.

It is a happy number.

It is a congruent number.

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, 33987 + ... + 34093.

It is an arithmetic number, because the mean of its divisors is an integer number (138510).

Almost surely, 2^3642280 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 3642280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432320).

3642280 is an abundant number, since it is smaller than the sum of its proper divisors (5222360).

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

3642280 is a wasteful number, since it uses less digits than its factorization.

3642280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3642280 is about 1908.4758316521. The cubic root of 3642280 is about 153.8595447318.

The spelling of 3642280 in words is "three million, six hundred forty-two thousand, two hundred eighty".