3640400 has 60 divisors (see below), whose sum is σ = 9225600. Its totient is φ = 1376640.

The previous prime is 3640391. The next prime is 3640409. The reversal of 3640400 is 40463.

It is an interprime number because it is at equal distance from previous prime (3640391) and next prime (3640409).

It is a super-3 number, since 3×3640400³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7361 + ... + 7839.

It is an arithmetic number, because the mean of its divisors is an integer number (153760).

Almost surely, 2^3640400 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 3640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612800).

3640400 is an abundant number, since it is smaller than the sum of its proper divisors (5585200).

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

3640400 is a wasteful number, since it uses less digits than its factorization.

3640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3640400 is about 1907.9832284378. The cubic root of 3640400 is about 153.8330681178.

Adding to 3640400 its reverse (40463), we get a palindrome (3680863).

The spelling of 3640400 in words is "three million, six hundred forty thousand, four hundred".