352778500 has 48 divisors (see below), whose sum is σ = 777656880. Its totient is φ = 139795200.

The previous prime is 352778497. The next prime is 352778537. The reversal of 352778500 is 5877253.

It can be written as a sum of positive squares in 8 ways, for example, as 137921536 + 214856964 = 11744^2 + 14658^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 352778500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51264 + ... + 57736.

It is an arithmetic number, because the mean of its divisors is an integer number (16201185).

Almost surely, 2^352778500 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 352778500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388828440).

352778500 is an abundant number, since it is smaller than the sum of its proper divisors (424878380).

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

352778500 is a wasteful number, since it uses less digits than its factorization.

352778500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6601 (or 6589 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The square root of 352778500 is about 18782.3986753556. The cubic root of 352778500 is about 706.5898095876.

The spelling of 352778500 in words is "three hundred fifty-two million, seven hundred seventy-eight thousand, five hundred".