3643249056 has 192 divisors, whose sum is σ = 10406309760. Its totient is φ = 1111818240.

The previous prime is 3643249037. The next prime is 3643249063. The reversal of 3643249056 is 6509423463.

It is a super-2 number, since 2×3643249056² = 26546527368089782272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3643248999 and 3643249017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15117096 + ... + 15117336.

It is an arithmetic number, because the mean of its divisors is an integer number (54199530).

Almost surely, 2^3643249056 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 3643249056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5203154880).

3643249056 is an abundant number, since it is smaller than the sum of its proper divisors (6763060704).

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

3643249056 is a wasteful number, since it uses less digits than its factorization.

3643249056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The square root of 3643249056 is about 60359.3327994934. The cubic root of 3643249056 is about 1538.7318868509.

The spelling of 3643249056 in words is "three billion, six hundred forty-three million, two hundred forty-nine thousand, fifty-six".