3993990 has 192 divisors, whose sum is σ = 13789440. Its totient is φ = 725760.

The previous prime is 3993959. The next prime is 3993991. The reversal of 3993990 is 993993.

It is a super-2 number, since 2×3993990² = 31903912240200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3993991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 210201 + ... + 210219.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

Almost surely, 2^3993990 is an apocalyptic number.

3993990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3993990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

3993990 is an abundant number, since it is smaller than the sum of its proper divisors (9795450).

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

3993990 is a wasteful number, since it uses less digits than its factorization.

3993990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 42.

The square root of 3993990 is about 1998.4969351991. The cubic root of 3993990 is about 158.6605630101.

The spelling of 3993990 in words is "three million, nine hundred ninety-three thousand, nine hundred ninety".