351461632 has 72 divisors (see below), whose sum is σ = 736101632. Its totient is φ = 167270400.

The previous prime is 351461611. The next prime is 351461641. The reversal of 351461632 is 236164153.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 351461594 and 351461603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531382 + ... + 532042.

Almost surely, 2^351461632 is an apocalyptic number.

351461632 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 351461632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368050816).

351461632 is an abundant number, since it is smaller than the sum of its proper divisors (384640000).

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

351461632 is an equidigital number, since it uses as much as digits as its factorization.

351461632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 761 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 351461632 is about 18747.3099937031. The cubic root of 351461632 is about 705.7095162374.

The spelling of 351461632 in words is "three hundred fifty-one million, four hundred sixty-one thousand, six hundred thirty-two".