349672353660 has 432 divisors, whose sum is σ = 1300339063296. Its totient is φ = 74485315584.

The previous prime is 349672353619. The next prime is 349672353671. The reversal of 349672353660 is 66353276943.

It is a happy number.

349672353660 is a `hidden beast` number, since 3 + 49 + 6 + 7 + 2 + 3 + 536 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 349672353597 and 349672353606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37501759 + ... + 37511081.

It is an arithmetic number, because the mean of its divisors is an integer number (3010044128).

Almost surely, 2^349672353660 is an apocalyptic number.

349672353660 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 349672353660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650169531648).

349672353660 is an abundant number, since it is smaller than the sum of its proper divisors (950666709636).

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

349672353660 is a wasteful number, since it uses less digits than its factorization.

349672353660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9482 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 349672353660 in words is "three hundred forty-nine billion, six hundred seventy-two million, three hundred fifty-three thousand, six hundred sixty".