349627622400 has 2376 divisors, whose sum is σ = 1600992696576. Its totient is φ = 75246796800.

The previous prime is 349627622347. The next prime is 349627622423. The reversal of 349627622400 is 4226726943.

349627622400 is a `hidden beast` number, since 349 + 6 + 2 + 7 + 62 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9449395182 + ... + 9449395218.

Almost surely, 2^349627622400 is an apocalyptic number.

349627622400 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 349627622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800496348288).

349627622400 is an abundant number, since it is smaller than the sum of its proper divisors (1251365074176).

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

349627622400 is a wasteful number, since it uses less digits than its factorization.

349627622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 349627622400 in words is "three hundred forty-nine billion, six hundred twenty-seven million, six hundred twenty-two thousand, four hundred".