352082640 has 400 divisors, whose sum is σ = 1400410368. Its totient is φ = 72705024.

The previous prime is 352082629. The next prime is 352082641. The reversal of 352082640 is 46280253.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 352082598 and 352082607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352082641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7491097 + ... + 7491143.

Almost surely, 2^352082640 is an apocalyptic number.

352082640 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 352082640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700205184).

352082640 is an abundant number, since it is smaller than the sum of its proper divisors (1048327728).

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

352082640 is a wasteful number, since it uses less digits than its factorization.

352082640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 352082640 is about 18763.8652734451. The cubic root of 352082640 is about 706.1249180421.

The spelling of 352082640 in words is "three hundred fifty-two million, eighty-two thousand, six hundred forty".