3506420760 has 128 divisors (see below), whose sum is σ = 10664110080. Its totient is φ = 922249728.

The previous prime is 3506420747. The next prime is 3506420761. The reversal of 3506420760 is 670246053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3506420761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4535734 + ... + 4536506.

It is an arithmetic number, because the mean of its divisors is an integer number (83313360).

Almost surely, 2^3506420760 is an apocalyptic number.

3506420760 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 3506420760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332055040).

3506420760 is an abundant number, since it is smaller than the sum of its proper divisors (7157689320).

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

3506420760 is a wasteful number, since it uses less digits than its factorization.

3506420760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 3506420760 is about 59215.0382926500. The cubic root of 3506420760 is about 1519.2223572989. Note that the first 3 decimals are identical.

The spelling of 3506420760 in words is "three billion, five hundred six million, four hundred twenty thousand, seven hundred sixty".