351677040 has 160 divisors (see below), whose sum is σ = 1280918016. Its totient is φ = 78689280.

The previous prime is 351677009. The next prime is 351677041. The reversal of 351677040 is 40776153.

351677040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 351676992 and 351677010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351677041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29197 + ... + 39443.

Almost surely, 2^351677040 is an apocalyptic number.

351677040 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 351677040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640459008).

351677040 is an abundant number, since it is smaller than the sum of its proper divisors (929240976).

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

351677040 is a wasteful number, since it uses less digits than its factorization.

351677040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10287 (or 10281 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 351677040 is about 18753.0541512576. The cubic root of 351677040 is about 705.8536613501.

The spelling of 351677040 in words is "three hundred fifty-one million, six hundred seventy-seven thousand, forty".