3542504200 has 144 divisors (see below), whose sum is σ = 8825685120. Its totient is φ = 1322050560.

The previous prime is 3542504177. The next prime is 3542504213. The reversal of 3542504200 is 24052453.

It is a super-3 number, since 3×3542504200³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9652417 + ... + 9652783.

It is an arithmetic number, because the mean of its divisors is an integer number (61289480).

Almost surely, 2^3542504200 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 3542504200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412842560).

3542504200 is an abundant number, since it is smaller than the sum of its proper divisors (5283180920).

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

3542504200 is a wasteful number, since it uses less digits than its factorization.

3542504200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 3542504200 is about 59518.9398427089. The cubic root of 3542504200 is about 1524.4158579750.

Adding to 3542504200 its reverse (24052453), we get a palindrome (3566556653).

The spelling of 3542504200 in words is "three billion, five hundred forty-two million, five hundred four thousand, two hundred".