3993400 has 48 divisors (see below), whose sum is σ = 9530640. Its totient is φ = 1555200.

The previous prime is 3993397. The next prime is 3993427. The reversal of 3993400 is 43993.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7957 + ... + 8443.

It is an arithmetic number, because the mean of its divisors is an integer number (198555).

Almost surely, 2^3993400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3993400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765320).

3993400 is an abundant number, since it is smaller than the sum of its proper divisors (5537240).

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

3993400 is a wasteful number, since it uses less digits than its factorization.

3993400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 3993400 is about 1998.3493188129. The cubic root of 3993400 is about 158.6527500760.

It can be divided in two parts, 39 and 93400, that added together give a palindrome (93439).

The spelling of 3993400 in words is "three million, nine hundred ninety-three thousand, four hundred".