3851504640 has 440 divisors, whose sum is σ = 14231104272. Its totient is φ = 995328000.

The previous prime is 3851504633. The next prime is 3851504663. The reversal of 3851504640 is 464051583.

It is a happy number.

3851504640 is a `hidden beast` number, since 3 + 8 + 5 + 1 + 5 + 0 + 4 + 640 = 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 = 3851504595 and 3851504604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15344515 + ... + 15344765.

Almost surely, 2^3851504640 is an apocalyptic number.

3851504640 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 3851504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115552136).

3851504640 is an abundant number, since it is smaller than the sum of its proper divisors (10379599632).

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

3851504640 is a wasteful number, since it uses less digits than its factorization.

3851504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 298 counting only the distinct ones).

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

The square root of 3851504640 is about 62060.4917801978. The cubic root of 3851504640 is about 1567.5093564149.

The spelling of 3851504640 in words is "three billion, eight hundred fifty-one million, five hundred four thousand, six hundred forty".