35350000400 has 360 divisors, whose sum is σ = 101347736544. Its totient is φ = 11745177600.

The previous prime is 35350000381. The next prime is 35350000423. The reversal of 35350000400 is 400005353.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 101873027 + ... + 101873373.

Almost surely, 2^35350000400 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 35350000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50673868272).

35350000400 is an abundant number, since it is smaller than the sum of its proper divisors (65997736144).

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

35350000400 is a wasteful number, since it uses less digits than its factorization.

35350000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

Adding to 35350000400 its reverse (400005353), we get a palindrome (35750005753).

The spelling of 35350000400 in words is "thirty-five billion, three hundred fifty million, four hundred", and thus it is an aban number.