3505975380 has 384 divisors, whose sum is σ = 12093849600. Its totient is φ = 839808000.

The previous prime is 3505975379. The next prime is 3505975381. The reversal of 3505975380 is 835795053.

3505975380 is a `hidden beast` number, since 3 + 5 + 0 + 597 + 53 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3505975379) and next prime (3505975381).

It is a super-2 number, since 2×3505975380² = 24583726730332288800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3505975381) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23218305 + ... + 23218455.

It is an arithmetic number, because the mean of its divisors is an integer number (31494400).

Almost surely, 2^3505975380 is an apocalyptic number.

3505975380 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 3505975380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046924800).

3505975380 is an abundant number, since it is smaller than the sum of its proper divisors (8587874220).

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

3505975380 is a wasteful number, since it uses less digits than its factorization.

3505975380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 3505975380 is about 59211.2774731301. The cubic root of 3505975380 is about 1519.1580315044.

The spelling of 3505975380 in words is "three billion, five hundred five million, nine hundred seventy-five thousand, three hundred eighty".