3530234400 has 432 divisors, whose sum is σ = 14587503840. Its totient is φ = 733286400.

The previous prime is 3530234387. The next prime is 3530234413. The reversal of 3530234400 is 44320353.

It is an interprime number because it is at equal distance from previous prime (3530234387) and next prime (3530234413).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 71 ways as a sum of consecutive naturals, for example, 1292236 + ... + 1294964.

It is an arithmetic number, because the mean of its divisors is an integer number (33767370).

Almost surely, 2^3530234400 is an apocalyptic number.

3530234400 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 3530234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7293751920).

3530234400 is an abundant number, since it is smaller than the sum of its proper divisors (11057269440).

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

3530234400 is a wasteful number, since it uses less digits than its factorization.

3530234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 3530234400 is about 59415.7756828942. The cubic root of 3530234400 is about 1522.6538356910.

Adding to 3530234400 its reverse (44320353), we get a palindrome (3574554753).

The spelling of 3530234400 in words is "three billion, five hundred thirty million, two hundred thirty-four thousand, four hundred".