349824414940 has 192 divisors, whose sum is σ = 1020372111360. Its totient is φ = 97177973760.

The previous prime is 349824414857. The next prime is 349824414941. The reversal of 349824414940 is 49414428943.

It is a happy number.

It is a super-2 number, since 2×349824414940² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349824414941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279309 + ... + 881851.

It is an arithmetic number, because the mean of its divisors is an integer number (5314438080).

Almost surely, 2^349824414940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349824414940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510186055680).

349824414940 is an abundant number, since it is smaller than the sum of its proper divisors (670547696420).

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

349824414940 is a wasteful number, since it uses less digits than its factorization.

349824414940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602612 (or 602610 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 52.

The spelling of 349824414940 in words is "three hundred forty-nine billion, eight hundred twenty-four million, four hundred fourteen thousand, nine hundred forty".