3641400 has 216 divisors, whose sum is σ = 14846520. Its totient is φ = 783360.

The previous prime is 3641399. The next prime is 3641401. The reversal of 3641400 is 41463.

It is an interprime number because it is at equal distance from previous prime (3641399) and next prime (3641401).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3641401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 214192 + ... + 214208.

Almost surely, 2^3641400 is an apocalyptic number.

3641400 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 3641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7423260).

3641400 is an abundant number, since it is smaller than the sum of its proper divisors (11205120).

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

3641400 is a wasteful number, since it uses less digits than its factorization.

3641400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3641400 is about 1908.2452672547. The cubic root of 3641400 is about 153.8471525576.

Adding to 3641400 its reverse (41463), we get a palindrome (3682863).

It can be divided in two parts, 364 and 1400, that added together give a square (1764 = 42²).

The spelling of 3641400 in words is "three million, six hundred forty-one thousand, four hundred".