3788585640 has 192 divisors, whose sum is σ = 14526120960. Its totient is φ = 838010880.

The previous prime is 3788585629. The next prime is 3788585653. The reversal of 3788585640 is 465858873.

3788585640 is a `hidden beast` number, since 3 + 78 + 8 + 5 + 8 + 564 + 0 = 666.

It is a super-2 number, since 2×3788585640² = 28706762303228419200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53872 + ... + 102368.

It is an arithmetic number, because the mean of its divisors is an integer number (75656880).

Almost surely, 2^3788585640 is an apocalyptic number.

3788585640 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 3788585640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7263060480).

3788585640 is an abundant number, since it is smaller than the sum of its proper divisors (10737535320).

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

3788585640 is a wasteful number, since it uses less digits than its factorization.

3788585640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48552 (or 48545 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The square root of 3788585640 is about 61551.4877155703. The cubic root of 3788585640 is about 1558.9267272459.

The spelling of 3788585640 in words is "three billion, seven hundred eighty-eight million, five hundred eighty-five thousand, six hundred forty".