3953982240 has 144 divisors (see below), whose sum is σ = 14530953528. Its totient is φ = 973283328.

The previous prime is 3953982229. The next prime is 3953982283. The reversal of 3953982240 is 422893593.

It is a happy number.

3953982240 is a `hidden beast` number, since 39 + 5 + 398 + 224 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2814514704 + 1139467536 = 53052^2 + 33756^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86889 + ... + 124328.

Almost surely, 2^3953982240 is an apocalyptic number.

3953982240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3953982240 is an abundant number, since it is smaller than the sum of its proper divisors (10576971288).

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

3953982240 is a wasteful number, since it uses less digits than its factorization.

3953982240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211251 (or 211240 counting only the distinct ones).

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

The square root of 3953982240 is about 62880.6984694032. The cubic root of 3953982240 is about 1581.2901709032.

The spelling of 3953982240 in words is "three billion, nine hundred fifty-three million, nine hundred eighty-two thousand, two hundred forty".