3614400 has 126 divisors (see below), whose sum is σ = 12897612. Its totient is φ = 960000.

The previous prime is 3614363. The next prime is 3614407. The reversal of 3614400 is 44163.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3614407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14275 + ... + 14525.

It is an arithmetic number, because the mean of its divisors is an integer number (102362).

Almost surely, 2^3614400 is an apocalyptic number.

3614400 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 3614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448806).

3614400 is an abundant number, since it is smaller than the sum of its proper divisors (9283212).

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

3614400 is a wasteful number, since it uses less digits than its factorization.

3614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 261 counting only the distinct ones).

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

The square root of 3614400 is about 1901.1575421306. The cubic root of 3614400 is about 153.4659637990.

Adding to 3614400 its reverse (44163), we get a palindrome (3658563).

It can be divided in two parts, 361 and 4400, that added together give a square (4761 = 69²).

The spelling of 3614400 in words is "three million, six hundred fourteen thousand, four hundred".