3542400 has 192 divisors, whose sum is σ = 13280400. Its totient is φ = 921600.

The previous prime is 3542387. The next prime is 3542423. The reversal of 3542400 is 42453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×3542400³ (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 d-powerful number, because it can be written as 3³ + 5⁹ + 4⁷ + 2¹⁹ + 4¹⁰ + 0 + 0 .

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, 86380 + ... + 86420.

Almost surely, 2^3542400 is an apocalyptic number.

3542400 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 3542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640200).

3542400 is an abundant number, since it is smaller than the sum of its proper divisors (9738000).

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

3542400 is a wasteful number, since it uses less digits than its factorization.

3542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

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

The square root of 3542400 is about 1882.1264569630. The cubic root of 3542400 is about 152.4400911327.

Adding to 3542400 its reverse (42453), we get a palindrome (3584853).

The spelling of 3542400 in words is "three million, five hundred forty-two thousand, four hundred".