3596400 has 180 divisors, whose sum is σ = 13292552. Its totient is φ = 933120.

The previous prime is 3596389. The next prime is 3596407. The reversal of 3596400 is 46953.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3596407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97182 + ... + 97218.

Almost surely, 2^3596400 is an apocalyptic number.

3596400 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 3596400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646276).

3596400 is an abundant number, since it is smaller than the sum of its proper divisors (9696152).

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

3596400 is a wasteful number, since it uses less digits than its factorization.

3596400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3596400 is about 1896.4176755135. The cubic root of 3596400 is about 153.2107821447.

The spelling of 3596400 in words is "three million, five hundred ninety-six thousand, four hundred".