3546738090 has 168 divisors, whose sum is σ = 11135680740. Its totient is φ = 810601344.

The previous prime is 3546738089. The next prime is 3546738103. The reversal of 3546738090 is 908376453.

It can be written as a sum of positive squares in 2 ways, for example, as 3366668529 + 180069561 = 58023^2 + 13419^2 .

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 83 ways as a sum of consecutive naturals, for example, 352246 + ... + 362174.

Almost surely, 2^3546738090 is an apocalyptic number.

3546738090 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 3546738090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567840370).

3546738090 is an abundant number, since it is smaller than the sum of its proper divisors (7588942650).

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

3546738090 is an equidigital number, since it uses as much as digits as its factorization.

3546738090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9968 (or 9946 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3546738090 is about 59554.4968075459. The cubic root of 3546738090 is about 1525.0229275421.

The spelling of 3546738090 in words is "three billion, five hundred forty-six million, seven hundred thirty-eight thousand, ninety".