352877616 has 180 divisors, whose sum is σ = 1237493712. Its totient is φ = 93042432.

The previous prime is 352877599. The next prime is 352877617. The reversal of 352877616 is 616778253.

352877616 is a `hidden beast` number, since 3 + 5 + 28 + 7 + 7 + 616 = 666.

It is a super-2 number, since 2×352877616² = 249045223747686912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (352877617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89805 + ... + 93651.

Almost surely, 2^352877616 is an apocalyptic number.

352877616 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 352877616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618746856).

352877616 is an abundant number, since it is smaller than the sum of its proper divisors (884616096).

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

352877616 is a wasteful number, since it uses less digits than its factorization.

352877616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3872 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 352877616 is about 18785.0370241850. The cubic root of 352877616 is about 706.6559774500.

The spelling of 352877616 in words is "three hundred fifty-two million, eight hundred seventy-seven thousand, six hundred sixteen".