3649142480 has 80 divisors (see below), whose sum is σ = 9023328720. Its totient is φ = 1367678976.

The previous prime is 3649142473. The next prime is 3649142521. The reversal of 3649142480 is 842419463.

3649142480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1948816 + 3647193664 = 1396^2 + 60392^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 305582 + ... + 317298.

It is an arithmetic number, because the mean of its divisors is an integer number (112791609).

Almost surely, 2^3649142480 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 3649142480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511664360).

3649142480 is an abundant number, since it is smaller than the sum of its proper divisors (5374186240).

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

3649142480 is a wasteful number, since it uses less digits than its factorization.

3649142480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11976 (or 11970 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 3649142480 is about 60408.1325650777. The cubic root of 3649142480 is about 1539.5611387919.

The spelling of 3649142480 in words is "three billion, six hundred forty-nine million, one hundred forty-two thousand, four hundred eighty".