349904586240000 has 6240 divisors, whose sum is σ = 1587841302136320. Its totient is φ = 75650826240000.

The previous prime is 349904586239947. The next prime is 349904586240031. The reversal of 349904586240000 is 42685409943.

349904586240000 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 0 + 4 + 5 + 8 + 624 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3270136319947 + ... + 3270136320053.

Almost surely, 2^{349904586240000} is an apocalyptic number.

349904586240000 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 349904586240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793920651068160).

349904586240000 is an abundant number, since it is smaller than the sum of its proper divisors (1237936715896320).

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

349904586240000 is a wasteful number, since it uses less digits than its factorization.

349904586240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 349904586240000 in words is "three hundred forty-nine trillion, nine hundred four billion, five hundred eighty-six million, two hundred forty thousand".