3035042400 has 288 divisors, whose sum is σ = 10768373280. Its totient is φ = 738017280.

The previous prime is 3035042399. The next prime is 3035042431. The reversal of 3035042400 is 42405303.

It is a happy number.

It is a super-2 number, since 2×3035042400² = 18422964739595520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2776254 + ... + 2777346.

It is an arithmetic number, because the mean of its divisors is an integer number (37390185).

Almost surely, 2^3035042400 is an apocalyptic number.

3035042400 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 3035042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5384186640).

3035042400 is an abundant number, since it is smaller than the sum of its proper divisors (7733330880).

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

3035042400 is a wasteful number, since it uses less digits than its factorization.

3035042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3035042400 is about 55091.2189010191. The cubic root of 3035042400 is about 1447.8433893481.

Adding to 3035042400 its reverse (42405303), we get a palindrome (3077447703).

The spelling of 3035042400 in words is "three billion, thirty-five million, forty-two thousand, four hundred".