3915445248 has 264 divisors, whose sum is σ = 13286765856. Its totient is φ = 1094860800.

The previous prime is 3915445243. The next prime is 3915445249. The reversal of 3915445248 is 8425445193.

3915445248 is a `hidden beast` number, since 3 + 9 + 154 + 452 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×3915445248² = 30661422980171563008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3915445243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1316403 + ... + 1319373.

Almost surely, 2^3915445248 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 3915445248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643382928).

3915445248 is an abundant number, since it is smaller than the sum of its proper divisors (9371320608).

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

3915445248 is a wasteful number, since it uses less digits than its factorization.

3915445248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 3000 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 3915445248 is about 62573.5187439543. The cubic root of 3915445248 is about 1576.1361078736.

The spelling of 3915445248 in words is "three billion, nine hundred fifteen million, four hundred forty-five thousand, two hundred forty-eight".