3993300 has 180 divisors, whose sum is σ = 14178780. Its totient is φ = 967680.

The previous prime is 3993263. The next prime is 3993313. The reversal of 3993300 is 33993.

It can be written as a sum of positive squares in 6 ways, for example, as 1296 + 3992004 = 36^2 + 1998^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 137686 + ... + 137714.

It is an arithmetic number, because the mean of its divisors is an integer number (78771).

Almost surely, 2^3993300 is an apocalyptic number.

3993300 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 3993300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7089390).

3993300 is an abundant number, since it is smaller than the sum of its proper divisors (10185480).

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

3993300 is a wasteful number, since it uses less digits than its factorization.

3993300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

The square root of 3993300 is about 1998.3242980057. The cubic root of 3993300 is about 158.6514257736.

It can be divided in two parts, 39 and 93300, that added together give a palindrome (93339).

The spelling of 3993300 in words is "three million, nine hundred ninety-three thousand, three hundred".