355655040 has 128 divisors (see below), whose sum is σ = 1220940000. Its totient is φ = 87539712.

The previous prime is 355655039. The next prime is 355655087. The reversal of 355655040 is 40556553.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 355654992 and 355655010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17836 + ... + 32084.

Almost surely, 2^355655040 is an apocalyptic number.

355655040 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 355655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610470000).

355655040 is an abundant number, since it is smaller than the sum of its proper divisors (865284960).

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

355655040 is a wasteful number, since it uses less digits than its factorization.

355655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14284 (or 14272 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The square root of 355655040 is about 18858.8186268387. The cubic root of 355655040 is about 708.5051137086.

The spelling of 355655040 in words is "three hundred fifty-five million, six hundred fifty-five thousand, forty".