34002034400 has 72 divisors (see below), whose sum is σ = 84368365704. Its totient is φ = 13377830400.

The previous prime is 34002034349. The next prime is 34002034439. The reversal of 34002034400 is 443020043.

It is a happy number.

It is a super-2 number, since 2×34002034400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 299582 + ... + 397181.

It is an arithmetic number, because the mean of its divisors is an integer number (1171782857).

Almost surely, 2^34002034400 is an apocalyptic number.

It is an amenable number.

34002034400 is an abundant number, since it is smaller than the sum of its proper divisors (50366331304).

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

34002034400 is a wasteful number, since it uses less digits than its factorization.

34002034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696844 (or 696831 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 34002034400 its reverse (443020043), we get a palindrome (34445054443).

The spelling of 34002034400 in words is "thirty-four billion, two million, thirty-four thousand, four hundred".