351542772 has 108 divisors (see below), whose sum is σ = 1044781920. Its totient is φ = 97630272.

The previous prime is 351542753. The next prime is 351542773. The reversal of 351542772 is 277245153.

It is a super-3 number, since 3×351542772³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351542773) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 344479 + ... + 345497.

Almost surely, 2^351542772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351542772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522390960).

351542772 is an abundant number, since it is smaller than the sum of its proper divisors (693239148).

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

351542772 is a wasteful number, since it uses less digits than its factorization.

351542772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1068 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 351542772 is about 18749.4739126195. The cubic root of 351542772 is about 705.7638198076.

The spelling of 351542772 in words is "three hundred fifty-one million, five hundred forty-two thousand, seven hundred seventy-two".