352736064 has 168 divisors, whose sum is σ = 1076187840. Its totient is φ = 110149632.

The previous prime is 352736063. The next prime is 352736071. The reversal of 352736064 is 460637253.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352736063) 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, 1827552 + ... + 1827744.

It is an arithmetic number, because the mean of its divisors is an integer number (6405880).

Almost surely, 2^352736064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352736064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538093920).

352736064 is an abundant number, since it is smaller than the sum of its proper divisors (723451776).

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

352736064 is a wasteful number, since it uses less digits than its factorization.

352736064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 352736064 is about 18781.2689667126. The cubic root of 352736064 is about 706.5614763723.

The spelling of 352736064 in words is "three hundred fifty-two million, seven hundred thirty-six thousand, sixty-four".