3920411040 has 192 divisors, whose sum is σ = 15199301376. Its totient is φ = 827154432.

The previous prime is 3920411003. The next prime is 3920411059. The reversal of 3920411040 is 401140293.

3920411040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3920411040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1197 + ... + 88556.

It is an arithmetic number, because the mean of its divisors is an integer number (79163028).

Almost surely, 2^3920411040 is an apocalyptic number.

3920411040 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 3920411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599650688).

3920411040 is an abundant number, since it is smaller than the sum of its proper divisors (11278890336).

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

3920411040 is a wasteful number, since it uses less digits than its factorization.

3920411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89791 (or 89783 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3920411040 is about 62613.1858317399. The cubic root of 3920411040 is about 1576.8021417578.

The spelling of 3920411040 in words is "three billion, nine hundred twenty million, four hundred eleven thousand, forty".