352172016 has 240 divisors, whose sum is σ = 1194209280. Its totient is φ = 99066240.

The previous prime is 352171993. The next prime is 352172039. The reversal of 352172016 is 610271253.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (352171993) and next prime (352172039).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2688271 + ... + 2688401.

It is an arithmetic number, because the mean of its divisors is an integer number (4975872).

Almost surely, 2^352172016 is an apocalyptic number.

352172016 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 352172016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597104640).

352172016 is an abundant number, since it is smaller than the sum of its proper divisors (842037264).

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

352172016 is a wasteful number, since it uses less digits than its factorization.

352172016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 352172016 is about 18766.2467211747. The cubic root of 352172016 is about 706.1846628047.

The spelling of 352172016 in words is "three hundred fifty-two million, one hundred seventy-two thousand, sixteen".