348961536 has 324 divisors, whose sum is σ = 1281354984. Its totient is φ = 90316800.

The previous prime is 348961531. The next prime is 348961573. The reversal of 348961536 is 635169843.

348961536 is a `hidden beast` number, since 34 + 89 + 6 + 1 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 348961491 and 348961500.

It is not an unprimeable number, because it can be changed into a prime (348961531) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1241716 + ... + 1241996.

Almost surely, 2^348961536 is an apocalyptic number.

348961536 is a gapful number since it is divisible by the number (36) 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 348961536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640677492).

348961536 is an abundant number, since it is smaller than the sum of its proper divisors (932393448).

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

348961536 is a wasteful number, since it uses less digits than its factorization.

348961536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 304 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 348961536 is about 18680.5121985453. The cubic root of 348961536 is about 704.0321954973.

It can be divided in two parts, 3489 and 61536, that added together give a square (65025 = 255²).

The spelling of 348961536 in words is "three hundred forty-eight million, nine hundred sixty-one thousand, five hundred thirty-six".