3020400 has 90 divisors (see below), whose sum is σ = 10494120. Its totient is φ = 804480.

The previous prime is 3020399. The next prime is 3020401. The reversal of 3020400 is 40203.

It is an interprime number because it is at equal distance from previous prime (3020399) and next prime (3020401).

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3181 + ... + 4019.

Almost surely, 2^3020400 is an apocalyptic number.

3020400 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 3020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5247060).

3020400 is an abundant number, since it is smaller than the sum of its proper divisors (7473720).

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

3020400 is a wasteful number, since it uses less digits than its factorization.

3020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 3020400 is about 1737.9298029552. The cubic root of 3020400 is about 144.5511287243.

Adding to 3020400 its reverse (40203), we get a palindrome (3060603).

The spelling of 3020400 in words is "three million, twenty thousand, four hundred".