3650400 has 216 divisors, whose sum is σ = 14295960. Its totient is φ = 898560.

The previous prime is 3650369. The next prime is 3650419. The reversal of 3650400 is 40563.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 280794 + ... + 280806.

It is an arithmetic number, because the mean of its divisors is an integer number (66185).

Almost surely, 2^3650400 is an apocalyptic number.

3650400 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 3650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7147980).

3650400 is an abundant number, since it is smaller than the sum of its proper divisors (10645560).

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

3650400 is a wasteful number, since it uses less digits than its factorization.

3650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3650400 is about 1910.6019993709. The cubic root of 3650400 is about 153.9737966324.

Adding to 3650400 its reverse (40563), we get a palindrome (3690963).

The spelling of 3650400 in words is "three million, six hundred fifty thousand, four hundred".