349022337300 has 864 divisors, whose sum is σ = 1425373214720. Its totient is φ = 69368140800.

The previous prime is 349022337299. The next prime is 349022337317. The reversal of 349022337300 is 3733220943.

It is a happy number.

349022337300 is a `hidden beast` number, since 34 + 90 + 2 + 233 + 7 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 328336569 + ... + 328337631.

Almost surely, 2^349022337300 is an apocalyptic number.

349022337300 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 349022337300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712686607360).

349022337300 is an abundant number, since it is smaller than the sum of its proper divisors (1076350877420).

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

349022337300 is a wasteful number, since it uses less digits than its factorization.

349022337300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The spelling of 349022337300 in words is "three hundred forty-nine billion, twenty-two million, three hundred thirty-seven thousand, three hundred".