3042434400 has 72 divisors (see below), whose sum is σ = 9903131784. Its totient is φ = 811315200.

The previous prime is 3042434377. The next prime is 3042434429. The reversal of 3042434400 is 44342403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 631441 + ... + 636240.

It is an arithmetic number, because the mean of its divisors is an integer number (137543497).

Almost surely, 2^3042434400 is an apocalyptic number.

3042434400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3042434400 is an abundant number, since it is smaller than the sum of its proper divisors (6860697384).

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

3042434400 is a wasteful number, since it uses less digits than its factorization.

3042434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267704 (or 1267691 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3042434400 is about 55158.2668328148. The cubic root of 3042434400 is about 1449.0178684128.

Adding to 3042434400 its reverse (44342403), we get a palindrome (3086776803).

The spelling of 3042434400 in words is "three billion, forty-two million, four hundred thirty-four thousand, four hundred".