3035442400 has 72 divisors (see below), whose sum is σ = 7451569944. Its totient is φ = 1207411200.

The previous prime is 3035442391. The next prime is 3035442427. The reversal of 3035442400 is 42445303.

3035442400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 134319 + ... + 155281.

It is an arithmetic number, because the mean of its divisors is an integer number (103494027).

Almost surely, 2^3035442400 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 3035442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725784972).

3035442400 is an abundant number, since it is smaller than the sum of its proper divisors (4416127544).

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

3035442400 is a wasteful number, since it uses less digits than its factorization.

3035442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21164 (or 21151 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 3035442400 is about 55094.8491240334. The cubic root of 3035442400 is about 1447.9069921844.

Adding to 3035442400 its reverse (42445303), we get a palindrome (3077887703).

The spelling of 3035442400 in words is "three billion, thirty-five million, four hundred forty-two thousand, four hundred".