354125376 has 126 divisors (see below), whose sum is σ = 1115920806. Its totient is φ = 107289600.

The previous prime is 354125353. The next prime is 354125399. The reversal of 354125376 is 673521453.

It is an interprime number because it is at equal distance from previous prime (354125353) and next prime (354125399).

It can be written as a sum of positive squares in only one way, i.e., 242611776 + 111513600 = 15576^2 + 10560^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 354125376.

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 17 ways as a sum of consecutive naturals, for example, 67156 + ... + 72236.

Almost surely, 2^354125376 is an apocalyptic number.

354125376 is a gapful number since it is divisible by the number (36) 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 354125376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557960403).

354125376 is an abundant number, since it is smaller than the sum of its proper divisors (761795430).

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

354125376 is a wasteful number, since it uses less digits than its factorization.

354125376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5097 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 354125376 is about 18818.2192568798. The cubic root of 354125376 is about 707.4878993381.

The spelling of 354125376 in words is "three hundred fifty-four million, one hundred twenty-five thousand, three hundred seventy-six".