349540416 has 189 divisors, whose sum is σ = 1083820413. Its totient is φ = 107688960.

The previous prime is 349540403. The next prime is 349540423. The reversal of 349540416 is 614045943.

The square root of 349540416 is 18696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16842816 + 332697600 = 4104^2 + 18240^2 .

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 26 ways as a sum of consecutive naturals, for example, 8525356 + ... + 8525396.

Almost surely, 2^349540416 is an apocalyptic number.

349540416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

349540416 is the 18696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349540416

349540416 is an abundant number, since it is smaller than the sum of its proper divisors (734279997).

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

349540416 is a wasteful number, since it uses less digits than its factorization.

349540416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 349540416 is about 704.4212785011.

Multiplying 349540416 by its sum of digits (36), we get a square (12583454976 = 112176²).

349540416 divided by its sum of digits (36) gives a square (9709456 = 3116²).

The spelling of 349540416 in words is "three hundred forty-nine million, five hundred forty thousand, four hundred sixteen".