10349798400 has 396 divisors, whose sum is σ = 38359756500. Its totient is φ = 2663055360.

The previous prime is 10349798357. The next prime is 10349798413. The reversal of 10349798400 is 489794301.

It can be written as a sum of positive squares in 6 ways, for example, as 458302464 + 9891495936 = 21408^2 + 99456^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6680826 + ... + 6682374.

Almost surely, 2^10349798400 is an apocalyptic number.

10349798400 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 10349798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19179878250).

10349798400 is an abundant number, since it is smaller than the sum of its proper divisors (28009958100).

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

10349798400 is a wasteful number, since it uses less digits than its factorization.

10349798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10349798400 in words is "ten billion, three hundred forty-nine million, seven hundred ninety-eight thousand, four hundred".