10346882400 has 432 divisors, whose sum is σ = 38035565568. Its totient is φ = 2643840000.

The previous prime is 10346882311. The next prime is 10346882401. The reversal of 10346882400 is 428864301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10346882401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33703047 + ... + 33703353.

Almost surely, 2^10346882400 is an apocalyptic number.

10346882400 is a gapful number since it is divisible by the number (10) 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 10346882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19017782784).

10346882400 is an abundant number, since it is smaller than the sum of its proper divisors (27688683168).

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

10346882400 is a wasteful number, since it uses less digits than its factorization.

10346882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10346882400 in words is "ten billion, three hundred forty-six million, eight hundred eighty-two thousand, four hundred".