3485081600 has 672 divisors, whose sum is σ = 12286463616. Its totient is φ = 943718400.

The previous prime is 3485081569. The next prime is 3485081623. The reversal of 3485081600 is 61805843.

3485081600 = T₄₈₅ + T₄₈₆ + ... + T₂₇₅₉.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205004792 + ... + 205004808.

It is an arithmetic number, because the mean of its divisors is an integer number (18283428).

Almost surely, 2^3485081600 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 3485081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143231808).

3485081600 is an abundant number, since it is smaller than the sum of its proper divisors (8801382016).

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

3485081600 is a wasteful number, since it uses less digits than its factorization.

3485081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 3485081600 is about 59034.5796969878. The cubic root of 3485081600 is about 1516.1342209142.

The spelling of 3485081600 in words is "three billion, four hundred eighty-five million, eighty-one thousand, six hundred".