354415968 has 144 divisors (see below), whose sum is σ = 1069286400. Its totient is φ = 111041280.

The previous prime is 354415967. The next prime is 354415991. The reversal of 354415968 is 869514453.

354415968 is a `hidden beast` number, since 3 + 54 + 4 + 1 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×354415968² = 251221356746754048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354415961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1307673 + ... + 1307943.

It is an arithmetic number, because the mean of its divisors is an integer number (7425600).

Almost surely, 2^354415968 is an apocalyptic number.

354415968 is a gapful number since it is divisible by the number (38) 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 354415968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534643200).

354415968 is an abundant number, since it is smaller than the sum of its proper divisors (714870432).

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

354415968 is a wasteful number, since it uses less digits than its factorization.

354415968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 534 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 354415968 is about 18825.9387016956. The cubic root of 354415968 is about 707.6813657656.

The spelling of 354415968 in words is "three hundred fifty-four million, four hundred fifteen thousand, nine hundred sixty-eight".