3420711640 has 64 divisors (see below), whose sum is σ = 7838962560. Its totient is φ = 1343070720.

The previous prime is 3420711629. The next prime is 3420711649. The reversal of 3420711640 is 461170243.

It is a junction number, because it is equal to n+sod(n) for n = 3420711599 and 3420711608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420711649) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1494577 + ... + 1496863.

It is an arithmetic number, because the mean of its divisors is an integer number (122483790).

Almost surely, 2^3420711640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420711640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919481280).

3420711640 is an abundant number, since it is smaller than the sum of its proper divisors (4418250920).

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

3420711640 is a wasteful number, since it uses less digits than its factorization.

3420711640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 3420711640 is about 58486.8501459944. The cubic root of 3420711640 is about 1506.7417486361.

Adding to 3420711640 its reverse (461170243), we get a palindrome (3881881883).

The spelling of 3420711640 in words is "three billion, four hundred twenty million, seven hundred eleven thousand, six hundred forty".