3956400 has 180 divisors, whose sum is σ = 15791152. Its totient is φ = 898560.

The previous prime is 3956353. The next prime is 3956401. The reversal of 3956400 is 46593.

3956400 = 336² + 337² + ... + 367².

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3956401) 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, 25122 + ... + 25278.

Almost surely, 2^3956400 is an apocalyptic number.

3956400 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 3956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7895576).

3956400 is an abundant number, since it is smaller than the sum of its proper divisors (11834752).

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

3956400 is a wasteful number, since it uses less digits than its factorization.

3956400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

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

The square root of 3956400 is about 1989.0701345101. The cubic root of 3956400 is about 158.1612411529.

It can be divided in two parts, 3956 and 400, that added together give a square (4356 = 66²).

The spelling of 3956400 in words is "three million, nine hundred fifty-six thousand, four hundred".