355775040 has 336 divisors, whose sum is σ = 1318052736. Its totient is φ = 87859200.

The previous prime is 355775039. The next prime is 355775041. The reversal of 355775040 is 40577553.

355775040 is a `hidden beast` number, since 35 + 577 + 50 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (355775039) and next prime (355775041).

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 = 355774986 and 355775004.

It is not an unprimeable number, because it can be changed into a prime (355775041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2715775 + ... + 2715905.

It is an arithmetic number, because the mean of its divisors is an integer number (3922776).

Almost surely, 2^355775040 is an apocalyptic number.

355775040 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 355775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659026368).

355775040 is an abundant number, since it is smaller than the sum of its proper divisors (962277696).

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

355775040 is a wasteful number, since it uses less digits than its factorization.

355775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 355775040 is about 18861.9998939667. Note that the first 3 decimals coincide. The cubic root of 355775040 is about 708.5847892778.

The spelling of 355775040 in words is "three hundred fifty-five million, seven hundred seventy-five thousand, forty".