3758765472 has 480 divisors, whose sum is σ = 14182439040. Its totient is φ = 948049920.

The previous prime is 3758765471. The next prime is 3758765477. The reversal of 3758765472 is 2745678573.

It is a happy number.

3758765472 is a `hidden beast` number, since 3 + 7 + 587 + 6 + 54 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3758765471) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 7384354 + ... + 7384862.

It is an arithmetic number, because the mean of its divisors is an integer number (29546748).

Almost surely, 2^3758765472 is an apocalyptic number.

3758765472 is a gapful number since it is divisible by the number (32) 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 3758765472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091219520).

3758765472 is an abundant number, since it is smaller than the sum of its proper divisors (10423673568).

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

3758765472 is a wasteful number, since it uses less digits than its factorization.

3758765472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 569 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 54.

The square root of 3758765472 is about 61308.7715747103. The cubic root of 3758765472 is about 1554.8258158992.

The spelling of 3758765472 in words is "three billion, seven hundred fifty-eight million, seven hundred sixty-five thousand, four hundred seventy-two".