352723140 has 384 divisors, whose sum is σ = 1451520000. Its totient is φ = 68843520.

The previous prime is 352723121. The next prime is 352723153. The reversal of 352723140 is 41327253.

It is a super-2 number, since 2×352723140² = 248827226982919200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 706611 + ... + 707109.

It is an arithmetic number, because the mean of its divisors is an integer number (3780000).

Almost surely, 2^352723140 is an apocalyptic number.

352723140 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 352723140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760000).

352723140 is an abundant number, since it is smaller than the sum of its proper divisors (1098796860).

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

352723140 is a wasteful number, since it uses less digits than its factorization.

352723140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 352723140 is about 18780.9248973526. The cubic root of 352723140 is about 706.5528469626.

The spelling of 352723140 in words is "three hundred fifty-two million, seven hundred twenty-three thousand, one hundred forty".