3649301856 has 96 divisors (see below), whose sum is σ = 10844759520. Its totient is φ = 1193467392.

The previous prime is 3649301849. The next prime is 3649301879. The reversal of 3649301856 is 6581039463.

3649301856 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5946 + ... + 85638.

It is an arithmetic number, because the mean of its divisors is an integer number (112966245).

Almost surely, 2^3649301856 is an apocalyptic number.

3649301856 is a gapful number since it is divisible by the number (36) 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 3649301856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5422379760).

3649301856 is an abundant number, since it is smaller than the sum of its proper divisors (7195457664).

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

3649301856 is a wasteful number, since it uses less digits than its factorization.

3649301856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79765 (or 79751 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3649301856 is about 60409.4517108043. The cubic root of 3649301856 is about 1539.5835518679.

The spelling of 3649301856 in words is "three billion, six hundred forty-nine million, three hundred one thousand, eight hundred fifty-six".