3675738528 has 432 divisors, whose sum is σ = 13771858464. Its totient is φ = 953648640.

The previous prime is 3675738511. The next prime is 3675738529. The reversal of 3675738528 is 8258375763.

3675738528 is a `hidden beast` number, since 3 + 67 + 57 + 3 + 8 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3675738528² = 27022107452447213568, which contains 22 as substring.

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

Its product of digits (8467200) is a multiple of the sum of its prime divisors (900).

It is not an unprimeable number, because it can be changed into a prime (3675738529) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4190826 + ... + 4191702.

It is an arithmetic number, because the mean of its divisors is an integer number (31879302).

Almost surely, 2^3675738528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3675738528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885929232).

3675738528 is an abundant number, since it is smaller than the sum of its proper divisors (10096119936).

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

3675738528 is a wasteful number, since it uses less digits than its factorization.

3675738528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 900 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 3675738528 is about 60627.8692351958. The cubic root of 3675738528 is about 1543.2923502415.

The spelling of 3675738528 in words is "three billion, six hundred seventy-five million, seven hundred thirty-eight thousand, five hundred twenty-eight".