3954600 has 144 divisors (see below), whose sum is σ = 14387100. Its totient is φ = 973440.

The previous prime is 3954583. The next prime is 3954611. The reversal of 3954600 is 64593.

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.

3954600 is a `hidden beast` number, since 3 + 9 + 54 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 427716 + 3526884 = 654^2 + 1878^2 .

It is a super-2 number, since 2×3954600² = 31277722320000, which contains 22 as substring.

It is a nialpdrome in base 13.

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, 304194 + ... + 304206.

Almost surely, 2^3954600 is an apocalyptic number.

3954600 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 3954600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7193550).

3954600 is an abundant number, since it is smaller than the sum of its proper divisors (10432500).

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

3954600 is a wasteful number, since it uses less digits than its factorization.

3954600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 23 counting only the distinct ones).

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

The square root of 3954600 is about 1988.6176103012. The cubic root of 3954600 is about 158.1372518849.

Multiplying 3954600 by its product of nonzero digits (3240), we get a cube (12812904000 = 2340³).

It can be divided in two parts, 3954 and 600, that added together give a palindrome (4554).

The spelling of 3954600 in words is "three million, nine hundred fifty-four thousand, six hundred".