34400300424 has 64 divisors (see below), whose sum is σ = 101675779200. Its totient is φ = 9489736704.

The previous prime is 34400300423. The next prime is 34400300447. The reversal of 34400300424 is 42400300443.

It is a happy number.

It is a super-2 number, since 2×34400300424² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34400300394 and 34400300403.

It is not an unprimeable number, because it can be changed into a prime (34400300423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3525537 + ... + 3535280.

It is an arithmetic number, because the mean of its divisors is an integer number (1588684050).

Almost surely, 2^34400300424 is an apocalyptic number.

It is an amenable number.

34400300424 is an abundant number, since it is smaller than the sum of its proper divisors (67275478776).

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

34400300424 is a wasteful number, since it uses less digits than its factorization.

34400300424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7060862 (or 7060858 counting only the distinct ones).

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

Adding to 34400300424 its reverse (42400300443), we get a palindrome (76800600867).

The spelling of 34400300424 in words is "thirty-four billion, four hundred million, three hundred thousand, four hundred twenty-four".