349777612800 has 2496 divisors, whose sum is σ = 1684897873920. Its totient is φ = 69009408000.

The previous prime is 349777612783. The next prime is 349777612829. The reversal of 349777612800 is 8216777943.

349777612800 is a `hidden beast` number, since 3 + 497 + 7 + 76 + 1 + 2 + 80 + 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 191 ways as a sum of consecutive naturals, for example, 6599577574 + ... + 6599577626.

Almost surely, 2^349777612800 is an apocalyptic number.

349777612800 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 349777612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842448936960).

349777612800 is an abundant number, since it is smaller than the sum of its proper divisors (1335120261120).

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

349777612800 is a wasteful number, since it uses less digits than its factorization.

349777612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 349777612800 in words is "three hundred forty-nine billion, seven hundred seventy-seven million, six hundred twelve thousand, eight hundred".