349455084693120 has 2048 divisors, whose sum is σ = 1476602265600000. Its totient is φ = 76429564968960.

The previous prime is 349455084693101. The next prime is 349455084693131. The reversal of 349455084693120 is 21396480554943.

It is a happy number.

349455084693120 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 550 + 8 + 4 + 69 + 3 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 133532702052 + ... + 133532704668.

It is an arithmetic number, because the mean of its divisors is an integer number (720997200000).

Almost surely, 2^{349455084693120} is an apocalyptic number.

349455084693120 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 349455084693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738301132800000).

349455084693120 is an abundant number, since it is smaller than the sum of its proper divisors (1127147180906880).

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

349455084693120 is a wasteful number, since it uses less digits than its factorization.

349455084693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3071 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 349455084693120 in words is "three hundred forty-nine trillion, four hundred fifty-five billion, eighty-four million, six hundred ninety-three thousand, one hundred twenty".