3485781040 has 160 divisors (see below), whose sum is σ = 9805086720. Its totient is φ = 1125798912.

The previous prime is 3485781007. The next prime is 3485781041. The reversal of 3485781040 is 401875843.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3485780984 and 3485781002.

It is not an unprimeable number, because it can be changed into a prime (3485781041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2095249 + ... + 2096911.

It is an arithmetic number, because the mean of its divisors is an integer number (61281792).

Almost surely, 2^3485781040 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 3485781040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902543360).

3485781040 is an abundant number, since it is smaller than the sum of its proper divisors (6319305680).

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

3485781040 is a wasteful number, since it uses less digits than its factorization.

3485781040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 3485781040 is about 59040.5033853879. The cubic root of 3485781040 is about 1516.2356412067.

The spelling of 3485781040 in words is "three billion, four hundred eighty-five million, seven hundred eighty-one thousand, forty".