352514016 has 72 divisors (see below), whose sum is σ = 1004991624. Its totient is φ = 117208320.

The previous prime is 352514003. The next prime is 352514017. The reversal of 352514016 is 610415253.

352514016 is a `hidden beast` number, since 3 + 5 + 251 + 401 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×352514016² = 248532262952896512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352514017) 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, 133186 + ... + 135806.

It is an arithmetic number, because the mean of its divisors is an integer number (13958217).

Almost surely, 2^352514016 is an apocalyptic number.

352514016 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 352514016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502495812).

352514016 is an abundant number, since it is smaller than the sum of its proper divisors (652477608).

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

352514016 is a wasteful number, since it uses less digits than its factorization.

352514016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 352514016 is about 18775.3566144561. The cubic root of 352514016 is about 706.4131846691.

Adding to 352514016 its reverse (610415253), we get a palindrome (962929269).

The spelling of 352514016 in words is "three hundred fifty-two million, five hundred fourteen thousand, sixteen".