3658125240 has 960 divisors, whose sum is σ = 16314439680. Its totient is φ = 718502400.

The previous prime is 3658125223. The next prime is 3658125253. The reversal of 3658125240 is 425218563.

3658125240 is a `hidden beast` number, since 36 + 581 + 2 + 5 + 2 + 40 = 666.

3658125240 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3658125195 and 3658125204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 85072659 + ... + 85072701.

It is an arithmetic number, because the mean of its divisors is an integer number (16994208).

Almost surely, 2^3658125240 is an apocalyptic number.

3658125240 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 3658125240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157219840).

3658125240 is an abundant number, since it is smaller than the sum of its proper divisors (12656314440).

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

3658125240 is a wasteful number, since it uses less digits than its factorization.

3658125240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3658125240 is about 60482.4374508832. The cubic root of 3658125240 is about 1540.8233692266.

The spelling of 3658125240 in words is "three billion, six hundred fifty-eight million, one hundred twenty-five thousand, two hundred forty".