3495200800 has 288 divisors, whose sum is σ = 10767060864. Its totient is φ = 1078272000.

The previous prime is 3495200747. The next prime is 3495200801. The reversal of 3495200800 is 80025943.

It is not an unprimeable number, because it can be changed into a prime (3495200801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2984215 + ... + 2985385.

It is an arithmetic number, because the mean of its divisors is an integer number (37385628).

Almost surely, 2^3495200800 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 3495200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5383530432).

3495200800 is an abundant number, since it is smaller than the sum of its proper divisors (7271860064).

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

3495200800 is a wasteful number, since it uses less digits than its factorization.

3495200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 3495200800 is about 59120.2232742739. The cubic root of 3495200800 is about 1517.6002067095.

The spelling of 3495200800 in words is "three billion, four hundred ninety-five million, two hundred thousand, eight hundred".