3485788800 has 768 divisors, whose sum is σ = 13769118720. Its totient is φ = 766771200.

The previous prime is 3485788781. The next prime is 3485788837. The reversal of 3485788800 is 88875843.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65769574 + ... + 65769626.

It is an arithmetic number, because the mean of its divisors is an integer number (17928540).

Almost surely, 2^3485788800 is an apocalyptic number.

3485788800 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 3485788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884559360).

3485788800 is an abundant number, since it is smaller than the sum of its proper divisors (10283329920).

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

3485788800 is a wasteful number, since it uses less digits than its factorization.

3485788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The square root of 3485788800 is about 59040.5691029482. The cubic root of 3485788800 is about 1516.2367663471.

The spelling of 3485788800 in words is "three billion, four hundred eighty-five million, seven hundred eighty-eight thousand, eight hundred".