3542200 has 48 divisors (see below), whose sum is σ = 8370000. Its totient is φ = 1393920.

The previous prime is 3542167. The next prime is 3542233. The reversal of 3542200 is 22453.

It is an interprime number because it is at equal distance from previous prime (3542167) and next prime (3542233).

It is a super-3 number, since 3×3542200³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17701 + ... + 17899.

It is an arithmetic number, because the mean of its divisors is an integer number (174375).

Almost surely, 2^3542200 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 3542200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185000).

3542200 is an abundant number, since it is smaller than the sum of its proper divisors (4827800).

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

3542200 is a wasteful number, since it uses less digits than its factorization.

3542200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 3542200 is about 1882.0733248203. The cubic root of 3542200 is about 152.4372222122.

Adding to 3542200 its reverse (22453), we get a palindrome (3564653).

The spelling of 3542200 in words is "three million, five hundred forty-two thousand, two hundred".