34331312400 has 480 divisors, whose sum is σ = 139381840896. Its totient is φ = 7015680000.

The previous prime is 34331312369. The next prime is 34331312413. The reversal of 34331312400 is 421313343.

It is a super-2 number, since 2×34331312400² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5633355 + ... + 5639445.

Almost surely, 2^34331312400 is an apocalyptic number.

34331312400 is a gapful number since it is divisible by the number (30) 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 34331312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69690920448).

34331312400 is an abundant number, since it is smaller than the sum of its proper divisors (105050528496).

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

34331312400 is a wasteful number, since it uses less digits than its factorization.

34331312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6191 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34331312400 its reverse (421313343), we get a palindrome (34752625743).

The spelling of 34331312400 in words is "thirty-four billion, three hundred thirty-one million, three hundred twelve thousand, four hundred".