35483256900 has 1215 divisors, whose sum is σ = 151459382151. Its totient is φ = 7161073920.

The previous prime is 35483256881. The next prime is 35483256901. The reversal of 35483256900 is 965238453.

The square root of 35483256900 is 188370.

It is a perfect power (a square), and thus also a powerful number.

35483256900 is a `hidden beast` number, since 3 + 5 + 4 + 83 + 2 + 569 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9145861956 + 26337394944 = 95634^2 + 162288^2 .

It is a super-2 number, since 2×35483256900² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (35483256901) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1542750289 + ... + 1542750311.

Almost surely, 2^35483256900 is an apocalyptic number.

35483256900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

35483256900 is the 188370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35483256900

35483256900 is an abundant number, since it is smaller than the sum of its proper divisors (115976125251).

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

35483256900 is a wasteful number, since it uses less digits than its factorization.

35483256900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 35483256900 in words is "thirty-five billion, four hundred eighty-three million, two hundred fifty-six thousand, nine hundred".