349774425676440 has 768 divisors, whose sum is σ = 1250247865651200. Its totient is φ = 84492746956800.

The previous prime is 349774425676433. The next prime is 349774425676441. The reversal of 349774425676440 is 44676524477943.

349774425676440 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 74 + 42 + 5 + 6 + 76 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349774425676441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5624165745 + ... + 5624227935.

It is an arithmetic number, because the mean of its divisors is an integer number (1627926908400).

Almost surely, 2^{349774425676440} is an apocalyptic number.

349774425676440 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 349774425676440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625123932825600).

349774425676440 is an abundant number, since it is smaller than the sum of its proper divisors (900473439974760).

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

349774425676440 is a wasteful number, since it uses less digits than its factorization.

349774425676440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62648 (or 62641 counting only the distinct ones).

The product of its (nonzero) digits is 3413975040, while the sum is 72.

The spelling of 349774425676440 in words is "three hundred forty-nine trillion, seven hundred seventy-four billion, four hundred twenty-five million, six hundred seventy-six thousand, four hundred forty".