3942794240 has 352 divisors, whose sum is σ = 12040683264. Its totient is φ = 1203240960.

The previous prime is 3942794221. The next prime is 3942794243. The reversal of 3942794240 is 424972493.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 3942794191 and 3942794200.

It is not an unprimeable number, because it can be changed into a prime (3942794243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28779452 + ... + 28779588.

Almost surely, 2^3942794240 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 3942794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020341632).

3942794240 is an abundant number, since it is smaller than the sum of its proper divisors (8097889024).

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

3942794240 is a wasteful number, since it uses less digits than its factorization.

3942794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 3942794240 is about 62791.6733333330. The cubic root of 3942794240 is about 1579.7973141700.

The spelling of 3942794240 in words is "three billion, nine hundred forty-two million, seven hundred ninety-four thousand, two hundred forty".