3785902560 has 288 divisors, whose sum is σ = 14336300160. Its totient is φ = 902016000.

The previous prime is 3785902537. The next prime is 3785902577. The reversal of 3785902560 is 652095873.

It is a happy number.

3785902560 is a `hidden beast` number, since 3 + 7 + 8 + 590 + 2 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 932535 + ... + 936585.

It is an arithmetic number, because the mean of its divisors is an integer number (49778820).

Almost surely, 2^3785902560 is an apocalyptic number.

3785902560 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 3785902560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168150080).

3785902560 is an abundant number, since it is smaller than the sum of its proper divisors (10550397600).

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

3785902560 is a wasteful number, since it uses less digits than its factorization.

3785902560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 3785902560 is about 61529.6884438724. The cubic root of 3785902560 is about 1558.5586291997.

The spelling of 3785902560 in words is "three billion, seven hundred eighty-five million, nine hundred two thousand, five hundred sixty".