7034042400 has 576 divisors, whose sum is σ = 30238064640. Its totient is φ = 1375027200.

The previous prime is 7034042371. The next prime is 7034042443. The reversal of 7034042400 is 42404307.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3140481 + ... + 3142719.

It is an arithmetic number, because the mean of its divisors is an integer number (52496640).

Almost surely, 2^7034042400 is an apocalyptic number.

7034042400 is a gapful number since it is divisible by the number (70) 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 7034042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119032320).

7034042400 is an abundant number, since it is smaller than the sum of its proper divisors (23204022240).

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

7034042400 is a wasteful number, since it uses less digits than its factorization.

7034042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 7034042400 is about 83869.1981599920. The cubic root of 7034042400 is about 1916.0271583763.

Adding to 7034042400 its reverse (42404307), we get a palindrome (7076446707).

The spelling of 7034042400 in words is "seven billion, thirty-four million, forty-two thousand, four hundred".