351727920 has 280 divisors, whose sum is σ = 1266953136. Its totient is φ = 90699264.

The previous prime is 351727913. The next prime is 351727933. The reversal of 351727920 is 29727153.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2157759 + ... + 2157921.

Almost surely, 2^351727920 is an apocalyptic number.

351727920 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 351727920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633476568).

351727920 is an abundant number, since it is smaller than the sum of its proper divisors (915225216).

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

351727920 is a wasteful number, since it uses less digits than its factorization.

351727920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 351727920 is about 18754.4106812238. The cubic root of 351727920 is about 705.8877002536.

The spelling of 351727920 in words is "three hundred fifty-one million, seven hundred twenty-seven thousand, nine hundred twenty".