3953748960 has 288 divisors, whose sum is σ = 15837861312. Its totient is φ = 879206400.

The previous prime is 3953748949. The next prime is 3953748971. The reversal of 3953748960 is 698473593.

3953748960 is a `hidden beast` number, since 3 + 9 + 537 + 48 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3953748949) and next prime (3953748971).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3953748897 and 3953748906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367660 + ... + 378260.

It is an arithmetic number, because the mean of its divisors is an integer number (54992574).

Almost surely, 2^3953748960 is an apocalyptic number.

3953748960 is a gapful number since it is divisible by the number (30) 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 3953748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7918930656).

3953748960 is an abundant number, since it is smaller than the sum of its proper divisors (11884112352).

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

3953748960 is a wasteful number, since it uses less digits than its factorization.

3953748960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10666 (or 10655 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 3953748960 is about 62878.8435008151. The cubic root of 3953748960 is about 1581.2590722451.

The spelling of 3953748960 in words is "three billion, nine hundred fifty-three million, seven hundred forty-eight thousand, nine hundred sixty".