349417736547840 has 3200 divisors, whose sum is σ = 1405765465251840. Its totient is φ = 82637173555200.

The previous prime is 349417736547829. The next prime is 349417736547907. The reversal of 349417736547840 is 48745637714943.

349417736547840 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 1 + 7 + 7 + 36 + 547 + 8 + 40 = 666.

It is a super-2 number, since 2×349417736547840² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 357643537432 + ... + 357643538408.

Almost surely, 2^{349417736547840} is an apocalyptic number.

349417736547840 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 349417736547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702882732625920).

349417736547840 is an abundant number, since it is smaller than the sum of its proper divisors (1056347728704000).

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

349417736547840 is a wasteful number, since it uses less digits than its factorization.

349417736547840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 1706987520, while the sum is 72.

The spelling of 349417736547840 in words is "three hundred forty-nine trillion, four hundred seventeen billion, seven hundred thirty-six million, five hundred forty-seven thousand, eight hundred forty".