355120640 has 240 divisors, whose sum is σ = 1049598000. Its totient is φ = 114573312.

The previous prime is 355120613. The next prime is 355120651. The reversal of 355120640 is 46021553.

It is a super-2 number, since 2×355120640² = 252221337908019200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2383286 + ... + 2383434.

It is an arithmetic number, because the mean of its divisors is an integer number (4373325).

Almost surely, 2^355120640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524799000).

355120640 is an abundant number, since it is smaller than the sum of its proper divisors (694477360).

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

355120640 is a wasteful number, since it uses less digits than its factorization.

355120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 355120640 is about 18844.6448626659. The cubic root of 355120640 is about 708.1500740524.

The spelling of 355120640 in words is "three hundred fifty-five million, one hundred twenty thousand, six hundred forty".