349780636800 has 1536 divisors, whose sum is σ = 1568352000000. Its totient is φ = 74351001600.

The previous prime is 349780636783. The next prime is 349780636813. The reversal of 349780636800 is 8636087943.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 700962951 + ... + 700963449.

It is an arithmetic number, because the mean of its divisors is an integer number (1021062500).

Almost surely, 2^349780636800 is an apocalyptic number.

349780636800 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 349780636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784176000000).

349780636800 is an abundant number, since it is smaller than the sum of its proper divisors (1218571363200).

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

349780636800 is a wasteful number, since it uses less digits than its factorization.

349780636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 349780636800 in words is "three hundred forty-nine billion, seven hundred eighty million, six hundred thirty-six thousand, eight hundred".