3542220 has 72 divisors (see below), whose sum is σ = 11728080. Its totient is φ = 858240.

The previous prime is 3542167. The next prime is 3542233. The reversal of 3542220 is 222453.

3542220 = T₇ + T₈ + ... + T₂₇₆.

3542220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3542220³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3542193 and 3542202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1086 + ... + 2874.

It is an arithmetic number, because the mean of its divisors is an integer number (162890).

Almost surely, 2^3542220 is an apocalyptic number.

3542220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3542220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864040).

3542220 is an abundant number, since it is smaller than the sum of its proper divisors (8185860).

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

3542220 is a wasteful number, since it uses less digits than its factorization.

3542220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3542220 is about 1882.0786381020. The cubic root of 3542220 is about 152.4375091091.

Adding to 3542220 its reverse (222453), we get a palindrome (3764673).

The spelling of 3542220 in words is "three million, five hundred forty-two thousand, two hundred twenty".