349776003840 has 288 divisors, whose sum is σ = 1177471545600. Its totient is φ = 88245780480.

The previous prime is 349776003809. The next prime is 349776003883. The reversal of 349776003840 is 48300677943.

It is a happy 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, 62669850 + ... + 62675430.

Almost surely, 2^349776003840 is an apocalyptic number.

349776003840 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 349776003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588735772800).

349776003840 is an abundant number, since it is smaller than the sum of its proper divisors (827695541760).

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

349776003840 is a wasteful number, since it uses less digits than its factorization.

349776003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6483 (or 6469 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 349776003840 in words is "three hundred forty-nine billion, seven hundred seventy-six million, three thousand, eight hundred forty".