3491965080 has 320 divisors, whose sum is σ = 12191921280. Its totient is φ = 895795200.

The previous prime is 3491965079. The next prime is 3491965111. The reversal of 3491965080 is 805691943.

It is a happy number.

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 (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12885345 + ... + 12885615.

It is an arithmetic number, because the mean of its divisors is an integer number (38099754).

Almost surely, 2^3491965080 is an apocalyptic number.

3491965080 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 3491965080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095960640).

3491965080 is an abundant number, since it is smaller than the sum of its proper divisors (8699956200).

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

3491965080 is a wasteful number, since it uses less digits than its factorization.

3491965080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3491965080 is about 59092.8513443039. The cubic root of 3491965080 is about 1517.1317505103.

It can be divided in two parts, 34919 and 65080, that added together give a palindrome (99999).

The spelling of 3491965080 in words is "three billion, four hundred ninety-one million, nine hundred sixty-five thousand, eighty".