3905734140 has 672 divisors, whose sum is σ = 15865113600. Its totient is φ = 800150400.

The previous prime is 3905734099. The next prime is 3905734153. The reversal of 3905734140 is 414375093.

3905734140 is a `hidden beast` number, since 3 + 9 + 0 + 573 + 41 + 40 = 666.

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 = 3905734095 and 3905734104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 55010305 + ... + 55010375.

It is an arithmetic number, because the mean of its divisors is an integer number (23608800).

Almost surely, 2^3905734140 is an apocalyptic number.

3905734140 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 3905734140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7932556800).

3905734140 is an abundant number, since it is smaller than the sum of its proper divisors (11959379460).

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

3905734140 is a wasteful number, since it uses less digits than its factorization.

3905734140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3905734140 is about 62495.8729837419. The cubic root of 3905734140 is about 1574.8319820768.

The spelling of 3905734140 in words is "three billion, nine hundred five million, seven hundred thirty-four thousand, one hundred forty".