3807265140 has 192 divisors, whose sum is σ = 13690252800. Its totient is φ = 860378112.

The previous prime is 3807265129. The next prime is 3807265153. The reversal of 3807265140 is 415627083.

3807265140 is a `hidden beast` number, since 380 + 7 + 265 + 14 + 0 = 666.

3807265140 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3807265095 and 3807265104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330762 + ... + 342078.

It is an arithmetic number, because the mean of its divisors is an integer number (71303400).

Almost surely, 2^3807265140 is an apocalyptic number.

3807265140 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 3807265140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6845126400).

3807265140 is an abundant number, since it is smaller than the sum of its proper divisors (9882987660).

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

3807265140 is a wasteful number, since it uses less digits than its factorization.

3807265140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11431 (or 11423 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3807265140 is about 61703.0399575256. The cubic root of 3807265140 is about 1561.4846074034.

The spelling of 3807265140 in words is "three billion, eight hundred seven million, two hundred sixty-five thousand, one hundred forty".