3735528390 has 96 divisors (see below), whose sum is σ = 10636344576. Its totient is φ = 902076480.

The previous prime is 3735528389. The next prime is 3735528413. The reversal of 3735528390 is 938255373.

3735528390 is a `hidden beast` number, since 3 + 7 + 3 + 552 + 8 + 3 + 90 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253197 + ... + 267543.

It is an arithmetic number, because the mean of its divisors is an integer number (110795256).

Almost surely, 2^3735528390 is an apocalyptic number.

3735528390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3735528390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318172288).

3735528390 is an abundant number, since it is smaller than the sum of its proper divisors (6900816186).

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

3735528390 is a wasteful number, since it uses less digits than its factorization.

3735528390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14634 (or 14631 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 3735528390 is about 61118.9691503383. The cubic root of 3735528390 is about 1551.6151585375.

It can be divided in two parts, 37355283 and 90, that added together give a palindrome (37355373).

The spelling of 3735528390 in words is "three billion, seven hundred thirty-five million, five hundred twenty-eight thousand, three hundred ninety".