349592674860 has 432 divisors, whose sum is σ = 1295783973120. Its totient is φ = 75705062400.

The previous prime is 349592674831. The next prime is 349592674889. The reversal of 349592674860 is 68476295943.

349592674860 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 92 + 67 + 486 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (349592674831) and next prime (349592674889).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8757426 + ... + 8797254.

Almost surely, 2^349592674860 is an apocalyptic number.

349592674860 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 349592674860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647891986560).

349592674860 is an abundant number, since it is smaller than the sum of its proper divisors (946191298260).

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

349592674860 is a wasteful number, since it uses less digits than its factorization.

349592674860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39910 (or 39894 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 349592674860 in words is "three hundred forty-nine billion, five hundred ninety-two million, six hundred seventy-four thousand, eight hundred sixty".