35050314400 has 144 divisors (see below), whose sum is σ = 91878494400. Its totient is φ = 13009203200.

The previous prime is 35050314361. The next prime is 35050314401. The reversal of 35050314400 is 441305053.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (35050314401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 947451 + ... + 983749.

It is an arithmetic number, because the mean of its divisors is an integer number (638045100).

Almost surely, 2^35050314400 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 35050314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45939247200).

35050314400 is an abundant number, since it is smaller than the sum of its proper divisors (56828180000).

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

35050314400 is a wasteful number, since it uses less digits than its factorization.

35050314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36407 (or 36394 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 35050314400 its reverse (441305053), we get a palindrome (35491619453).

The spelling of 35050314400 in words is "thirty-five billion, fifty million, three hundred fourteen thousand, four hundred".