35322042400 has 108 divisors (see below), whose sum is σ = 91601258238. Its totient is φ = 13297623040.

The previous prime is 35322042367. The next prime is 35322042433. The reversal of 35322042400 is 424022353.

It is an interprime number because it is at equal distance from previous prime (35322042367) and next prime (35322042433).

It can be written as a sum of positive squares in 9 ways, for example, as 7297943184 + 28024099216 = 85428^2 + 167404^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 154812 + ... + 307588.

Almost surely, 2^35322042400 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 35322042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45800629119).

35322042400 is an abundant number, since it is smaller than the sum of its proper divisors (56279215838).

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

35322042400 is a wasteful number, since it uses less digits than its factorization.

35322042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152831 (or 152801 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 35322042400 its reverse (424022353), we get a palindrome (35746064753).

The spelling of 35322042400 in words is "thirty-five billion, three hundred twenty-two million, forty-two thousand, four hundred".