3520400 has 60 divisors (see below), whose sum is σ = 9121812. Its totient is φ = 1297920.

The previous prime is 3520399. The next prime is 3520427. The reversal of 3520400 is 40253.

It can be written as a sum of positive squares in 6 ways, for example, as 1024 + 3519376 = 32^2 + 1876^2 .

It is a congruent number.

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, 4862 + ... + 5538.

Almost surely, 2^3520400 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 3520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560906).

3520400 is an abundant number, since it is smaller than the sum of its proper divisors (5601412).

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

3520400 is a wasteful number, since it uses less digits than its factorization.

3520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 3520400 is about 1876.2729012593. The cubic root of 3520400 is about 152.1238602614.

Adding to 3520400 its reverse (40253), we get a palindrome (3560653).

The spelling of 3520400 in words is "three million, five hundred twenty thousand, four hundred".