349289040800 has 72 divisors (see below), whose sum is σ = 974516439456. Its totient is φ = 119756240640.

The previous prime is 349289040791. The next prime is 349289040809. The reversal of 349289040800 is 8040982943.

It is an interprime number because it is at equal distance from previous prime (349289040791) and next prime (349289040809).

It is not an unprimeable number, because it can be changed into a prime (349289040809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31180922 + ... + 31192121.

It is an arithmetic number, because the mean of its divisors is an integer number (13534950548).

Almost surely, 2^349289040800 is an apocalyptic number.

It is an amenable number.

349289040800 is an abundant number, since it is smaller than the sum of its proper divisors (625227398656).

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

349289040800 is a wasteful number, since it uses less digits than its factorization.

349289040800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62373070 (or 62373057 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 349289040800 in words is "three hundred forty-nine billion, two hundred eighty-nine million, forty thousand, eight hundred".