3495765600 has 360 divisors, whose sum is σ = 12940499880. Its totient is φ = 918190080.

The previous prime is 3495765599. The next prime is 3495765601. The reversal of 3495765600 is 65675943.

3495765600 is a `hidden beast` number, since 34 + 9 + 5 + 7 + 6 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (3495765599) and next prime (3495765601).

It is a tau number, because it is divible by the number of its divisors (360).

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 (3495765601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4730031 + ... + 4730769.

It is an arithmetic number, because the mean of its divisors is an integer number (35945833).

Almost surely, 2^3495765600 is an apocalyptic number.

3495765600 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 3495765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6470249940).

3495765600 is an abundant number, since it is smaller than the sum of its proper divisors (9444734280).

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

3495765600 is a wasteful number, since it uses less digits than its factorization.

3495765600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 822 counting only the distinct ones).

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

The square root of 3495765600 is about 59124.9997885835. Note that the first 3 decimals coincide. The cubic root of 3495765600 is about 1517.6819468326.

The spelling of 3495765600 in words is "three billion, four hundred ninety-five million, seven hundred sixty-five thousand, six hundred".