354211968 has 64 divisors (see below), whose sum is σ = 1026421920. Its totient is φ = 107335680.

The previous prime is 354211967. The next prime is 354211969. The reversal of 354211968 is 869112453.

It is an interprime number because it is at equal distance from previous prime (354211967) and next prime (354211969).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×354211968³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (354211961) by changing a digit.

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, 37705 + ... + 46152.

Almost surely, 2^354211968 is an apocalyptic number.

It is an amenable number.

354211968 is an abundant number, since it is smaller than the sum of its proper divisors (672209952).

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

354211968 is a wasteful number, since it uses less digits than its factorization.

354211968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83885 (or 83873 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 354211968 is about 18820.5198652960. The cubic root of 354211968 is about 707.5455604601.

It can be divided in two parts, 35421 and 1968, that multiplied together give a triangular number (69708528 = T₁₁₈₀₇).

The spelling of 354211968 in words is "three hundred fifty-four million, two hundred eleven thousand, nine hundred sixty-eight".