3536400 has 120 divisors (see below), whose sum is σ = 12977344. Its totient is φ = 806400.

The previous prime is 3536389. The next prime is 3536437. The reversal of 3536400 is 46353.

3536400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3536400² = 25012249920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8190 + ... + 8610.

Almost surely, 2^3536400 is an apocalyptic number.

3536400 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 3536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488672).

3536400 is an abundant number, since it is smaller than the sum of its proper divisors (9440944).

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

3536400 is a wasteful number, since it uses less digits than its factorization.

3536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 3536400 is about 1880.5318396666. The cubic root of 3536400 is about 152.3539764996.

The spelling of 3536400 in words is "three million, five hundred thirty-six thousand, four hundred".