349385535840 has 384 divisors, whose sum is σ = 1250481576960. Its totient is φ = 81246412800.

The previous prime is 349385535827. The next prime is 349385535857. The reversal of 349385535840 is 48535583943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13857966 + ... + 13883154.

It is an arithmetic number, because the mean of its divisors is an integer number (3256462440).

Almost surely, 2^349385535840 is an apocalyptic number.

349385535840 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 349385535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625240788480).

349385535840 is an abundant number, since it is smaller than the sum of its proper divisors (901096041120).

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

349385535840 is a wasteful number, since it uses less digits than its factorization.

349385535840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25326 (or 25318 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 57.

The spelling of 349385535840 in words is "three hundred forty-nine billion, three hundred eighty-five million, five hundred thirty-five thousand, eight hundred forty".