3542630400 has 405 divisors, whose sum is σ = 13112665293. Its totient is φ = 914227200.

The previous prime is 3542630317. The next prime is 3542630419. The reversal of 3542630400 is 40362453.

The square root of 3542630400 is 59520.

It is a perfect power (a square), and thus also a powerful number.

3542630400 is a `hidden beast` number, since 354 + 2 + 6 + 304 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1275346944 + 2267283456 = 35712^2 + 47616^2 .

It is a super-3 number, since 3×3542630400³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 114278385 + ... + 114278415.

Almost surely, 2^3542630400 is an apocalyptic number.

3542630400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3542630400 is the 59520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3542630400

3542630400 is an abundant number, since it is smaller than the sum of its proper divisors (9570034893).

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

3542630400 is an equidigital number, since it uses as much as digits as its factorization.

3542630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The cubic root of 3542630400 is about 1524.4339599527.

Adding to 3542630400 its reverse (40362453), we get a palindrome (3582992853).

The spelling of 3542630400 in words is "three billion, five hundred forty-two million, six hundred thirty thousand, four hundred".