351677952 has 120 divisors (see below), whose sum is σ = 1023278256. Its totient is φ = 116269056.

The previous prime is 351677939. The next prime is 351677969. The reversal of 351677952 is 259776153.

It is a junction number, because it is equal to n+sod(n) for n = 351677898 and 351677907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 769308 + ... + 769764.

Almost surely, 2^351677952 is an apocalyptic number.

351677952 is a gapful number since it is divisible by the number (32) 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 351677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511639128).

351677952 is an abundant number, since it is smaller than the sum of its proper divisors (671600304).

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

351677952 is a wasteful number, since it uses less digits than its factorization.

351677952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 629 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 351677952 is about 18753.0784672810. The cubic root of 351677952 is about 705.8542715103.

The spelling of 351677952 in words is "three hundred fifty-one million, six hundred seventy-seven thousand, nine hundred fifty-two".