3942570240 has 576 divisors, whose sum is σ = 16404326400. Its totient is φ = 877879296.

The previous prime is 3942570169. The next prime is 3942570251. The reversal of 3942570240 is 420752493.

3942570240 is a `hidden beast` number, since 3 + 9 + 42 + 570 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3942570195 and 3942570204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10402371 + ... + 10402749.

Almost surely, 2^3942570240 is an apocalyptic number.

3942570240 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 3942570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8202163200).

3942570240 is an abundant number, since it is smaller than the sum of its proper divisors (12461756160).

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

3942570240 is a wasteful number, since it uses less digits than its factorization.

3942570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3942570240 is about 62789.8896320100. The cubic root of 3942570240 is about 1579.7673961915.

The spelling of 3942570240 in words is "three billion, nine hundred forty-two million, five hundred seventy thousand, two hundred forty".