356378820 has 384 divisors, whose sum is σ = 1323786240. Its totient is φ = 69672960.

The previous prime is 356378807. The next prime is 356378833. The reversal of 356378820 is 28873653.

It is an interprime number because it is at equal distance from previous prime (356378807) and next prime (356378833).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5019385 + ... + 5019455.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2^356378820 is an apocalyptic number.

356378820 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 356378820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661893120).

356378820 is an abundant number, since it is smaller than the sum of its proper divisors (967407420).

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

356378820 is a wasteful number, since it uses less digits than its factorization.

356378820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 356378820 is about 18877.9983049051. The cubic root of 356378820 is about 708.9854052881.

The spelling of 356378820 in words is "three hundred fifty-six million, three hundred seventy-eight thousand, eight hundred twenty".