349901600 has 72 divisors (see below), whose sum is σ = 877357908. Its totient is φ = 136166400.

The previous prime is 349901597. The next prime is 349901603. The reversal of 349901600 is 6109943.

It is an interprime number because it is at equal distance from previous prime (349901597) and next prime (349901603).

It can be written as a sum of positive squares in 6 ways, for example, as 134281744 + 215619856 = 11588^2 + 14684^2 .

It is a super-2 number, since 2×349901600² = 244862259365120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (349901603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23690 + ... + 35510.

Almost surely, 2^349901600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438678954).

349901600 is an abundant number, since it is smaller than the sum of its proper divisors (527456308).

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

349901600 is a wasteful number, since it uses less digits than its factorization.

349901600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11878 (or 11865 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 349901600 is about 18705.6568983824. The cubic root of 349901600 is about 704.6638237596.

The spelling of 349901600 in words is "three hundred forty-nine million, nine hundred one thousand, six hundred".