3420949680 has 80 divisors (see below), whose sum is σ = 11783278560. Its totient is φ = 912252672.

The previous prime is 3420949549. The next prime is 3420949681. The reversal of 3420949680 is 869490243.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (3420949681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789727 + ... + 794046.

It is an arithmetic number, because the mean of its divisors is an integer number (147290982).

Almost surely, 2^3420949680 is an apocalyptic number.

3420949680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3420949680 is an abundant number, since it is smaller than the sum of its proper divisors (8362328880).

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

3420949680 is a wasteful number, since it uses less digits than its factorization.

3420949680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583795 (or 1583783 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3420949680 is about 58488.8850979398. The cubic root of 3420949680 is about 1506.7766981363.

The spelling of 3420949680 in words is "three billion, four hundred twenty million, nine hundred forty-nine thousand, six hundred eighty".