3979200 has 84 divisors (see below), whose sum is σ = 13070840. Its totient is φ = 1059840.

The previous prime is 3979193. The next prime is 3979201. The reversal of 3979200 is 29793.

3979200 = T₆₄ + T₆₅ + ... + T₂₈₈.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3979201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4386 + ... + 5214.

Almost surely, 2^3979200 is an apocalyptic number.

3979200 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 3979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535420).

3979200 is an abundant number, since it is smaller than the sum of its proper divisors (9091640).

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

3979200 is a wasteful number, since it uses less digits than its factorization.

3979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 3979200 is about 1994.7932223667. The cubic root of 3979200 is about 158.4644773727.

The spelling of 3979200 in words is "three million, nine hundred seventy-nine thousand, two hundred".