358378020 has 720 divisors, whose sum is σ = 1607050368. Its totient is φ = 64696320.

The previous prime is 358377959. The next prime is 358378063. The reversal of 358378020 is 20873853.

358378020 is a `hidden beast` number, since 3 + 583 + 78 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 239 ways as a sum of consecutive naturals, for example, 21081052 + ... + 21081068.

Almost surely, 2^358378020 is an apocalyptic number.

358378020 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 358378020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803525184).

358378020 is an abundant number, since it is smaller than the sum of its proper divisors (1248672348).

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

358378020 is a wasteful number, since it uses less digits than its factorization.

358378020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 358378020 is about 18930.8747816893. The cubic root of 358378020 is about 710.3086801672.

The spelling of 358378020 in words is "three hundred fifty-eight million, three hundred seventy-eight thousand, twenty".