3641257248 has 24 divisors (see below), whose sum is σ = 9558300528. Its totient is φ = 1213752384.

The previous prime is 3641257247. The next prime is 3641257253. The reversal of 3641257248 is 8427521463.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3641257248² = 26517508692225067008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3641257247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18964786 + ... + 18964977.

It is an arithmetic number, because the mean of its divisors is an integer number (398262522).

Almost surely, 2^3641257248 is an apocalyptic number.

It is an amenable number.

3641257248 is an abundant number, since it is smaller than the sum of its proper divisors (5917043280).

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

3641257248 is a wasteful number, since it uses less digits than its factorization.

3641257248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37929776 (or 37929768 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 3641257248 is about 60342.8309577865. The cubic root of 3641257248 is about 1538.4514213345.

The spelling of 3641257248 in words is "three billion, six hundred forty-one million, two hundred fifty-seven thousand, two hundred forty-eight".