355745880 has 384 divisors, whose sum is σ = 1400256000. Its totient is φ = 78236928.

The previous prime is 355745779. The next prime is 355745903. The reversal of 355745880 is 88547553.

355745880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×355745880² = 253110262273948800, which contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5309607 + ... + 5309673.

It is an arithmetic number, because the mean of its divisors is an integer number (3646500).

Almost surely, 2^355745880 is an apocalyptic number.

355745880 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 355745880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700128000).

355745880 is an abundant number, since it is smaller than the sum of its proper divisors (1044510120).

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

355745880 is a wasteful number, since it uses less digits than its factorization.

355745880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 355745880 is about 18861.2268954064. The cubic root of 355745880 is about 708.5654297625.

The spelling of 355745880 in words is "three hundred fifty-five million, seven hundred forty-five thousand, eight hundred eighty".