3485779200 has 324 divisors, whose sum is σ = 12648404860. Its totient is φ = 915701760.

The previous prime is 3485779169. The next prime is 3485779217. The reversal of 3485779200 is 29775843.

It can be written as a sum of positive squares in 6 ways, for example, as 17040384 + 3468738816 = 4128^2 + 58896^2 .

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 4204386 + ... + 4205214.

Almost surely, 2^3485779200 is an apocalyptic number.

3485779200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3485779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324202430).

3485779200 is an abundant number, since it is smaller than the sum of its proper divisors (9162625660).

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

3485779200 is a wasteful number, since it uses less digits than its factorization.

3485779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3485779200 is about 59040.4878028629. The cubic root of 3485779200 is about 1516.2353744205.

The spelling of 3485779200 in words is "three billion, four hundred eighty-five million, seven hundred seventy-nine thousand, two hundred".