352880640 has 288 divisors, whose sum is σ = 1400293440. Its totient is φ = 80510976.

The previous prime is 352880617. The next prime is 352880641. The reversal of 352880640 is 46088253.

352880640 is a `hidden beast` number, since 3 + 5 + 2 + 8 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 352880595 and 352880604.

It is not an unprimeable number, because it can be changed into a prime (352880641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644847 + ... + 645393.

It is an arithmetic number, because the mean of its divisors is an integer number (4862130).

Almost surely, 2^352880640 is an apocalyptic number.

352880640 is a gapful number since it is divisible by the number (30) 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 352880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700146720).

352880640 is an abundant number, since it is smaller than the sum of its proper divisors (1047412800).

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

352880640 is a wasteful number, since it uses less digits than its factorization.

352880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 352880640 is about 18785.1175136063. The cubic root of 352880640 is about 706.6579960172.

The spelling of 352880640 in words is "three hundred fifty-two million, eight hundred eighty thousand, six hundred forty".