3495952080 has 360 divisors, whose sum is σ = 12747222072. Its totient is φ = 858144768.

The previous prime is 3495952079. The next prime is 3495952093. The reversal of 3495952080 is 802595943.

3495952080 is a `hidden beast` number, since 3 + 49 + 5 + 9 + 520 + 80 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 360848016 + 3135104064 = 18996^2 + 55992^2 .

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 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 71 ways as a sum of consecutive naturals, for example, 11028082 + ... + 11028398.

Almost surely, 2^3495952080 is an apocalyptic number.

3495952080 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 3495952080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6373611036).

3495952080 is an abundant number, since it is smaller than the sum of its proper divisors (9251269992).

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

3495952080 is a wasteful number, since it uses less digits than its factorization.

3495952080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 3495952080 is about 59126.5767654445. The cubic root of 3495952080 is about 1517.7089330334.

The spelling of 3495952080 in words is "three billion, four hundred ninety-five million, nine hundred fifty-two thousand, eighty".