349056000 has 352 divisors, whose sum is σ = 1302874560. Its totient is φ = 92160000.

The previous prime is 349055963. The next prime is 349056007. The reversal of 349056000 is 650943.

It is a happy number.

It is a super-2 number, since 2×349056000² = 243680182272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (349056007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3455950 + ... + 3456050.

Almost surely, 2^349056000 is an apocalyptic number.

349056000 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 349056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651437280).

349056000 is an abundant number, since it is smaller than the sum of its proper divisors (953818560).

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

349056000 is a wasteful number, since it uses less digits than its factorization.

349056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 349056000 is about 18683.0404377874. The cubic root of 349056000 is about 704.0957170131.

The spelling of 349056000 in words is "three hundred forty-nine million, fifty-six thousand".