354713472 has 128 divisors (see below), whose sum is σ = 1054231200. Its totient is φ = 117411840.

The previous prime is 354713459. The next prime is 354713503. The reversal of 354713472 is 274317453.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680572 + ... + 681092.

Almost surely, 2^354713472 is an apocalyptic number.

354713472 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 354713472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527115600).

354713472 is an abundant number, since it is smaller than the sum of its proper divisors (699517728).

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

354713472 is a wasteful number, since it uses less digits than its factorization.

354713472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 723 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 354713472 is about 18833.8384829009. The cubic root of 354713472 is about 707.8793244483.

The spelling of 354713472 in words is "three hundred fifty-four million, seven hundred thirteen thousand, four hundred seventy-two".