349974510240 has 384 divisors, whose sum is σ = 1163973888000. Its totient is φ = 88259956736.

The previous prime is 349974510227. The next prime is 349974510241. The reversal of 349974510240 is 42015479943.

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

It is a self number, because there is not a number n which added to its sum of digits gives 349974510240.

It is not an unprimeable number, because it can be changed into a prime (349974510241) 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, 294838927 + ... + 294840113.

It is an arithmetic number, because the mean of its divisors is an integer number (3031182000).

Almost surely, 2^349974510240 is an apocalyptic number.

349974510240 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 349974510240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581986944000).

349974510240 is an abundant number, since it is smaller than the sum of its proper divisors (813999377760).

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

349974510240 is a wasteful number, since it uses less digits than its factorization.

349974510240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 349974510240 in words is "three hundred forty-nine billion, nine hundred seventy-four million, five hundred ten thousand, two hundred forty".