349074180624 has 480 divisors, whose sum is σ = 1091394432000. Its totient is φ = 95623317504.

The previous prime is 349074180607. The next prime is 349074180649. The reversal of 349074180624 is 426081470943.

It is a Cunningham number, because it is equal to 590825²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209150862 + ... + 209152530.

It is an arithmetic number, because the mean of its divisors is an integer number (2273738400).

Almost surely, 2^349074180624 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 349074180624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545697216000).

349074180624 is an abundant number, since it is smaller than the sum of its proper divisors (742320251376).

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

349074180624 is a wasteful number, since it uses less digits than its factorization.

349074180624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 349074180624 in words is "three hundred forty-nine billion, seventy-four million, one hundred eighty thousand, six hundred twenty-four".