349149600 has 216 divisors, whose sum is σ = 1250357472. Its totient is φ = 91660800.

The previous prime is 349149533. The next prime is 349149611. The reversal of 349149600 is 6941943.

349149600 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 49 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 510859 + ... + 511541.

It is an arithmetic number, because the mean of its divisors is an integer number (5788692).

Almost surely, 2^349149600 is an apocalyptic number.

349149600 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 349149600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625178736).

349149600 is an abundant number, since it is smaller than the sum of its proper divisors (901207872).

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

349149600 is a wasteful number, since it uses less digits than its factorization.

349149600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 349149600 is about 18685.5452154868. The cubic root of 349149600 is about 704.1586462368.

The spelling of 349149600 in words is "three hundred forty-nine million, one hundred forty-nine thousand, six hundred".