3530400 has 72 divisors (see below), whose sum is σ = 11499264. Its totient is φ = 940800.

The previous prime is 3530399. The next prime is 3530413. The reversal of 3530400 is 40353.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3530400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1665 + ... + 3135.

It is an arithmetic number, because the mean of its divisors is an integer number (159712).

Almost surely, 2^3530400 is an apocalyptic number.

3530400 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 3530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749632).

3530400 is an abundant number, since it is smaller than the sum of its proper divisors (7968864).

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

3530400 is a wasteful number, since it uses less digits than its factorization.

3530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 3530400 is about 1878.9358690493. The cubic root of 3530400 is about 152.2677644075.

Adding to 3530400 its reverse (40353), we get a palindrome (3570753).

The spelling of 3530400 in words is "three million, five hundred thirty thousand, four hundred".