3485975040 has 240 divisors, whose sum is σ = 12248698176. Its totient is φ = 916070400.

The previous prime is 3485975033. The next prime is 3485975123. The reversal of 3485975040 is 405795843.

3485975040 is a `hidden beast` number, since 3 + 4 + 8 + 597 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1634775 + ... + 1636905.

Almost surely, 2^3485975040 is an apocalyptic number.

3485975040 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 3485975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124349088).

3485975040 is an abundant number, since it is smaller than the sum of its proper divisors (8762723136).

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

3485975040 is a wasteful number, since it uses less digits than its factorization.

3485975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3485975040 is about 59042.1463024508. The cubic root of 3485975040 is about 1516.2637692172.

The spelling of 3485975040 in words is "three billion, four hundred eighty-five million, nine hundred seventy-five thousand, forty".