3514354460 has 72 divisors (see below), whose sum is σ = 7801950240. Its totient is φ = 1327224448.

The previous prime is 3514354447. The next prime is 3514354471. The reversal of 3514354460 is 644534153.

3514354460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3514354460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3168386 + ... + 3169494.

It is an arithmetic number, because the mean of its divisors is an integer number (108360420).

Almost surely, 2^3514354460 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 3514354460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900975120).

3514354460 is an abundant number, since it is smaller than the sum of its proper divisors (4287595780).

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

3514354460 is a wasteful number, since it uses less digits than its factorization.

3514354460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The square root of 3514354460 is about 59281.9910259431. The cubic root of 3514354460 is about 1520.3673021637.

The spelling of 3514354460 in words is "three billion, five hundred fourteen million, three hundred fifty-four thousand, four hundred sixty".