3541408256 has 160 divisors (see below), whose sum is σ = 7778073600. Its totient is φ = 1605795840.

The previous prime is 3541408249. The next prime is 3541408259. The reversal of 3541408256 is 6528041453.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3541408259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32489930 + ... + 32490038.

It is an arithmetic number, because the mean of its divisors is an integer number (48612960).

Almost surely, 2^3541408256 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 3541408256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889036800).

3541408256 is an abundant number, since it is smaller than the sum of its proper divisors (4236665344).

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

3541408256 is a wasteful number, since it uses less digits than its factorization.

3541408256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 3541408256 is about 59509.7324477266. The cubic root of 3541408256 is about 1524.2586389915.

The spelling of 3541408256 in words is "three billion, five hundred forty-one million, four hundred eight thousand, two hundred fifty-six".