3926858040 has 576 divisors, whose sum is σ = 15775119360. Its totient is φ = 843333120.

The previous prime is 3926858029. The next prime is 3926858087. The reversal of 3926858040 is 408586293.

3926858040 is a `hidden beast` number, since 3 + 9 + 2 + 68 + 580 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23514037 + ... + 23514203.

It is an arithmetic number, because the mean of its divisors is an integer number (27387360).

Almost surely, 2^3926858040 is an apocalyptic number.

3926858040 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 3926858040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7887559680).

3926858040 is an abundant number, since it is smaller than the sum of its proper divisors (11848261320).

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

3926858040 is a wasteful number, since it uses less digits than its factorization.

3926858040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3926858040 is about 62664.6474497384. The cubic root of 3926858040 is about 1577.6660032274. Note that the first 3 decimals are identical.

The spelling of 3926858040 in words is "three billion, nine hundred twenty-six million, eight hundred fifty-eight thousand, forty".