352688400 has 135 divisors (see below), whose sum is σ = 1227849519. Its totient is φ = 93749760.

The previous prime is 352688389. The next prime is 352688407. The reversal of 352688400 is 4886253.

The square root of 352688400 is 18780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 198133776 + 154554624 = 14076^2 + 12432^2 .

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

It is not an unprimeable number, because it can be changed into a prime (352688407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1126644 + ... + 1126956.

Almost surely, 2^352688400 is an apocalyptic number.

352688400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

352688400 is the 18780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352688400

352688400 is an abundant number, since it is smaller than the sum of its proper divisors (875161119).

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

352688400 is a wasteful number, since it uses less digits than its factorization.

352688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 323 counting only the distinct ones).

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

The cubic root of 352688400 is about 706.5296498721.

Multiplying 352688400 by its sum of digits (36), we get a square (12696782400 = 112680²).

352688400 divided by its sum of digits (36) gives a square (9796900 = 3130²).

The spelling of 352688400 in words is "three hundred fifty-two million, six hundred eighty-eight thousand, four hundred".