349351923600 has 135 divisors (see below), whose sum is σ = 1212471298129. Its totient is φ = 93151056000.

The previous prime is 349351923581. The next prime is 349351923623. The reversal of 349351923600 is 6329153943.

The square root of 349351923600 is 591060.

It is a perfect power (a square), and thus also a powerful number.

349351923600 is a `hidden beast` number, since 3 + 4 + 9 + 3 + 5 + 19 + 23 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125766692496 + 223585231104 = 354636^2 + 472848^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35458675 + ... + 35468525.

Almost surely, 2^349351923600 is an apocalyptic number.

349351923600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

349351923600 is the 591060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349351923600

349351923600 is an abundant number, since it is smaller than the sum of its proper divisors (863119374529).

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

349351923600 is an frugal number, since it uses more digits than its factorization.

349351923600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19726 (or 9861 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 349351923600 in words is "three hundred forty-nine billion, three hundred fifty-one million, nine hundred twenty-three thousand, six hundred".