34202320400 has 240 divisors, whose sum is σ = 90748905984. Its totient is φ = 12333834240.

The previous prime is 34202320393. The next prime is 34202320409. The reversal of 34202320400 is 402320243.

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

It is not an unprimeable number, because it can be changed into a prime (34202320409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15496097 + ... + 15498303.

Almost surely, 2^34202320400 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 34202320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45374452992).

34202320400 is an abundant number, since it is smaller than the sum of its proper divisors (56546585584).

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

34202320400 is a wasteful number, since it uses less digits than its factorization.

34202320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2327 counting only the distinct ones).

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

Adding to 34202320400 its reverse (402320243), we get a palindrome (34604640643).

The spelling of 34202320400 in words is "thirty-four billion, two hundred two million, three hundred twenty thousand, four hundred".