349154974832640 has 384 divisors, whose sum is σ = 1173975230937600. Its totient is φ = 88419076669440.

The previous prime is 349154974832603. The next prime is 349154974832683. The reversal of 349154974832640 is 46238479451943.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96434280 + ... + 99989400.

It is an arithmetic number, because the mean of its divisors is an integer number (3057227163900).

It is a 1-persistent number, because it is pandigital, but 2⋅349154974832640 = 698309949665280 is not.

Almost surely, 2^{349154974832640} is an apocalyptic number.

349154974832640 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 349154974832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586987615468800).

349154974832640 is an abundant number, since it is smaller than the sum of its proper divisors (824820256104960).

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

349154974832640 is a wasteful number, since it uses less digits than its factorization.

349154974832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555313 (or 3555293 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 69.

The spelling of 349154974832640 in words is "three hundred forty-nine trillion, one hundred fifty-four billion, nine hundred seventy-four million, eight hundred thirty-two thousand, six hundred forty".