3758564160 has 448 divisors, whose sum is σ = 14457273600. Its totient is φ = 913711104.

The previous prime is 3758564149. The next prime is 3758564171. The reversal of 3758564160 is 614658573.

3758564160 is a `hidden beast` number, since 3 + 7 + 585 + 6 + 4 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3758564149) and next prime (3758564171).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12242727 + ... + 12243033.

It is an arithmetic number, because the mean of its divisors is an integer number (32270700).

Almost surely, 2^3758564160 is an apocalyptic number.

3758564160 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 3758564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7228636800).

3758564160 is an abundant number, since it is smaller than the sum of its proper divisors (10698709440).

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

3758564160 is a wasteful number, since it uses less digits than its factorization.

3758564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3758564160 is about 61307.1297648161. The cubic root of 3758564160 is about 1554.7980576112.

The spelling of 3758564160 in words is "three billion, seven hundred fifty-eight million, five hundred sixty-four thousand, one hundred sixty".