349874642304 has 384 divisors, whose sum is σ = 1200472565760. Its totient is φ = 96565248000.

The previous prime is 349874642303. The next prime is 349874642323. The reversal of 349874642304 is 403246478943.

349874642304 is a `hidden beast` number, since 3 + 498 + 74 + 64 + 23 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349874642303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6651949 + ... + 6704339.

It is an arithmetic number, because the mean of its divisors is an integer number (3126230640).

Almost surely, 2^349874642304 is an apocalyptic number.

349874642304 is a gapful number since it is divisible by the number (34) 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 349874642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600236282880).

349874642304 is an abundant number, since it is smaller than the sum of its proper divisors (850597923456).

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

349874642304 is a wasteful number, since it uses less digits than its factorization.

349874642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52470 (or 52455 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 349874642304 in words is "three hundred forty-nine billion, eight hundred seventy-four million, six hundred forty-two thousand, three hundred four".