3506460672 has 288 divisors, whose sum is σ = 11078907840. Its totient is φ = 977633280.

The previous prime is 3506460641. The next prime is 3506460677. The reversal of 3506460672 is 2760646053.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3506460672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3506460677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11421543 + ... + 11421849.

It is an arithmetic number, because the mean of its divisors is an integer number (38468430).

Almost surely, 2^3506460672 is an apocalyptic number.

3506460672 is a gapful number since it is divisible by the number (32) 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 3506460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5539453920).

3506460672 is an abundant number, since it is smaller than the sum of its proper divisors (7572447168).

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

3506460672 is a wasteful number, since it uses less digits than its factorization.

3506460672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 3506460672 is about 59215.3753006768. The cubic root of 3506460672 is about 1519.2281214837.

The spelling of 3506460672 in words is "three billion, five hundred six million, four hundred sixty thousand, six hundred seventy-two".