354686640 has 320 divisors, whose sum is σ = 1452764160. Its totient is φ = 69304320.

The previous prime is 354686609. The next prime is 354686641. The reversal of 354686640 is 46686453.

It is a super-2 number, since 2×354686640² = 251605225188979200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 354686592 and 354686601.

It is not an unprimeable number, because it can be changed into a prime (354686641) 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 63 ways as a sum of consecutive naturals, for example, 313596 + ... + 314724.

It is an arithmetic number, because the mean of its divisors is an integer number (4539888).

Almost surely, 2^354686640 is an apocalyptic number.

354686640 is a gapful number since it is divisible by the number (30) 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 354686640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726382080).

354686640 is an abundant number, since it is smaller than the sum of its proper divisors (1098077520).

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

354686640 is a wasteful number, since it uses less digits than its factorization.

354686640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 354686640 is about 18833.1261345534. The cubic root of 354686640 is about 707.8614750211.

The spelling of 354686640 in words is "three hundred fifty-four million, six hundred eighty-six thousand, six hundred forty".