352707840 has 216 divisors, whose sum is σ = 1292834088. Its totient is φ = 88473600.

The previous prime is 352707827. The next prime is 352707851. The reversal of 352707840 is 48707253.

It can be written as a sum of positive squares in 4 ways, for example, as 23503104 + 329204736 = 4848^2 + 18144^2 .

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 = 352707795 and 352707804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194940 + ... + 196740.

It is an arithmetic number, because the mean of its divisors is an integer number (5985343).

Almost surely, 2^352707840 is an apocalyptic number.

352707840 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 352707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646417044).

352707840 is an abundant number, since it is smaller than the sum of its proper divisors (940126248).

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

352707840 is a wasteful number, since it uses less digits than its factorization.

352707840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 352707840 is about 18780.5175647531. The cubic root of 352707840 is about 706.5426308151.

The spelling of 352707840 in words is "three hundred fifty-two million, seven hundred seven thousand, eight hundred forty".