3542100 has 36 divisors (see below), whose sum is σ = 10249344. Its totient is φ = 944480.

The previous prime is 3542093. The next prime is 3542101. The reversal of 3542100 is 12453.

It is a super-3 number, since 3×3542100³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3542100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542101) 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, 5604 + ... + 6203.

It is an arithmetic number, because the mean of its divisors is an integer number (284704).

Almost surely, 2^3542100 is an apocalyptic number.

3542100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3542100 is an abundant number, since it is smaller than the sum of its proper divisors (6707244).

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

3542100 is a wasteful number, since it uses less digits than its factorization.

3542100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11824 (or 11817 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 3542100 is about 1882.0467581864. The cubic root of 3542100 is about 152.4357877114.

Adding to 3542100 its reverse (12453), we get a palindrome (3554553).

The spelling of 3542100 in words is "three million, five hundred forty-two thousand, one hundred".