35422100400 has 120 divisors (see below), whose sum is σ = 117129201664. Its totient is φ = 9141177600.

The previous prime is 35422100359. The next prime is 35422100423. The reversal of 35422100400 is 400122453.

35422100400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×35422100400³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438904 + ... + 513303.

Almost surely, 2^35422100400 is an apocalyptic number.

35422100400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35422100400 is an abundant number, since it is smaller than the sum of its proper divisors (81707101264).

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

35422100400 is a wasteful number, since it uses less digits than its factorization.

35422100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952259 (or 952248 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 35422100400 its reverse (400122453), we get a palindrome (35822222853).

The spelling of 35422100400 in words is "thirty-five billion, four hundred twenty-two million, one hundred thousand, four hundred".