3840147456 has 152 divisors (see below), whose sum is σ = 10821283680. Its totient is φ = 1207959552.

The previous prime is 3840147427. The next prime is 3840147473. The reversal of 3840147456 is 6547410483.

It is a tau number, because it is divible by the number of its divisors (152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14942080 + ... + 14942336.

Almost surely, 2^3840147456 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 3840147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410641840).

3840147456 is an abundant number, since it is smaller than the sum of its proper divisors (6981136224).

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

3840147456 is an frugal number, since it uses more digits than its factorization.

3840147456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 281 counting only the distinct ones).

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

The square root of 3840147456 is about 61968.9233083810. The cubic root of 3840147456 is about 1565.9671003333.

The spelling of 3840147456 in words is "three billion, eight hundred forty million, one hundred forty-seven thousand, four hundred fifty-six".