3457659060 has 72 divisors (see below), whose sum is σ = 10495616040. Its totient is φ = 921393408.

The previous prime is 3457658987. The next prime is 3457659077. The reversal of 3457659060 is 609567543.

3457659060 is a `hidden beast` number, since 3 + 4 + 57 + 6 + 590 + 6 + 0 = 666.

3457659060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 305061156 + 3152597904 = 17466^2 + 56148^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3457658997 and 3457659015.

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, 284386 + ... + 296294.

It is an arithmetic number, because the mean of its divisors is an integer number (145772445).

Almost surely, 2^3457659060 is an apocalyptic number.

3457659060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3457659060 is an abundant number, since it is smaller than the sum of its proper divisors (7037956980).

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

3457659060 is a wasteful number, since it uses less digits than its factorization.

3457659060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13537 (or 13532 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 3457659060 is about 58801.8627255974. The cubic root of 3457659060 is about 1512.1471522609.

It can be divided in two parts, 34576 and 59060, that added together give a square (93636 = 306²).

The spelling of 3457659060 in words is "three billion, four hundred fifty-seven million, six hundred fifty-nine thousand, sixty".