352979640 has 256 divisors, whose sum is σ = 1309593600. Its totient is φ = 83980800.

The previous prime is 352979623. The next prime is 352979657. The reversal of 352979640 is 46979253.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (352979623) and next prime (352979657).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434835 + ... + 435645.

It is an arithmetic number, because the mean of its divisors is an integer number (5115600).

Almost surely, 2^352979640 is an apocalyptic number.

352979640 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 352979640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654796800).

352979640 is an abundant number, since it is smaller than the sum of its proper divisors (956613960).

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

352979640 is a wasteful number, since it uses less digits than its factorization.

352979640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 352979640 is about 18787.7523935142. The cubic root of 352979640 is about 706.7240736956.

The spelling of 352979640 in words is "three hundred fifty-two million, nine hundred seventy-nine thousand, six hundred forty".