3542230400 has 96 divisors (see below), whose sum is σ = 8767087680. Its totient is φ = 1414195200.

The previous prime is 3542230379. The next prime is 3542230421. The reversal of 3542230400 is 40322453.

It is an interprime number because it is at equal distance from previous prime (3542230379) and next prime (3542230421).

It is a super-3 number, since 3×3542230400³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3170642 + ... + 3171758.

It is an arithmetic number, because the mean of its divisors is an integer number (91323830).

Almost surely, 2^3542230400 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 3542230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383543840).

3542230400 is an abundant number, since it is smaller than the sum of its proper divisors (5224857280).

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

3542230400 is a wasteful number, since it uses less digits than its factorization.

3542230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 3542230400 is about 59516.6396900900. The cubic root of 3542230400 is about 1524.3765829507.

Adding to 3542230400 its reverse (40322453), we get a palindrome (3582552853).

The spelling of 3542230400 in words is "three billion, five hundred forty-two million, two hundred thirty thousand, four hundred".